Hey, I'm glad you came over from the toddler board!
But, um, you're probably not going to like my advice on this particular situation. I'm not necessarily with your husband on just "letting her cry", but I do agree that you should not be saying no and then giving in when she cries "enough". I know, easier said than done.
I would try to take it on a case by case basis, and try to find something else she will accept as an alternative. DS was OBSESSED with my keyboard from my work computer, and it was turning into a big "thing" me keeping him away from it. SO, I found an old keyboard in the closet, clipped the cord and made sure nothing pokey was sticking out, and gave that to him. It worked out great. He had his, I had mine.
I think *sometimes*, if you initially say no to something and then immediately realize it's not that big a deal if she has it, it's OK for you to change your mind, but, like, right away, not after she's been screaming for it for 10 minutes. It happened to me recently with I don't remember what in the kitchen. He took it out of the dishwasher and started playing with it while I was emptying, and my first thing was, "that's not a toy for you, please put it back" but then I realized it wouldn't hurt him or the object (oh, it was one of those liquid pushy measuring cups), so then I said, "You know what, buddy? You're right - it's not a problem, just be careful" and he played with it happily for about 10 minutes then gave it to me to put away. But I changed my mind right away, before he even had a chance to really protest.
If there are certain things she wants a lot that she's not allowed to have, try to have those things out of her reach for a while. Or, let her explore it while she sits with you. But, if it's just something she cannot have, and she won't accept an alternative, then I would say you'll just have to sympathize with her, empathize, offer your support, and let her get out her frustration...but I would NOT while give it to her after she's been crying a lot, I think that is setting up for her to realize if she asks enough times she will eventually get it.
It probably won't be pretty, and it might last a long time initially if you have been giving in up until now, but I would bet after a short time when she realizes, she'll stop with the extended screaming. Obviously you'll need to be talking to her during this time even though it seems like she's not listening...and I mean more than just "no"...
The times this did happen to us, I usually would give him a hug and say something like, "I'm sorry bud, I know you really wanted X. But I can't let you have it because of Y. You can play with Z instead. I know you're upset, I understand and that's OK, but I still can't let you have X. Do you want Z now?" and then either hold him, or play with the Z thing myself until he was interested, or if he was totally wigged out and thrashing, I would just sit nearby until he was done and then give him another hug and play with him with Z....
If it seems to be EVERYTHING, then we'll have to do a little more brainstorming with you....does it seem to be everything? Or are there just some things she wants that you don't want her to have? Have you tried swapping or trading her with something she can have? That might also involve a protest, but you can sympathize and empathize, too. I guess first I would get everything possible up and out of her reach, then try to have acceptable alternatives at the ready, things she really does like playing with to swap...if that doesn't help, could you post some really specific situations, and then maybe we can help more?

But, um, you're probably not going to like my advice on this particular situation. I'm not necessarily with your husband on just "letting her cry", but I do agree that you should not be saying no and then giving in when she cries "enough". I know, easier said than done.
I would try to take it on a case by case basis, and try to find something else she will accept as an alternative. DS was OBSESSED with my keyboard from my work computer, and it was turning into a big "thing" me keeping him away from it. SO, I found an old keyboard in the closet, clipped the cord and made sure nothing pokey was sticking out, and gave that to him. It worked out great. He had his, I had mine.
I think *sometimes*, if you initially say no to something and then immediately realize it's not that big a deal if she has it, it's OK for you to change your mind, but, like, right away, not after she's been screaming for it for 10 minutes. It happened to me recently with I don't remember what in the kitchen. He took it out of the dishwasher and started playing with it while I was emptying, and my first thing was, "that's not a toy for you, please put it back" but then I realized it wouldn't hurt him or the object (oh, it was one of those liquid pushy measuring cups), so then I said, "You know what, buddy? You're right - it's not a problem, just be careful" and he played with it happily for about 10 minutes then gave it to me to put away. But I changed my mind right away, before he even had a chance to really protest.
If there are certain things she wants a lot that she's not allowed to have, try to have those things out of her reach for a while. Or, let her explore it while she sits with you. But, if it's just something she cannot have, and she won't accept an alternative, then I would say you'll just have to sympathize with her, empathize, offer your support, and let her get out her frustration...but I would NOT while give it to her after she's been crying a lot, I think that is setting up for her to realize if she asks enough times she will eventually get it.
It probably won't be pretty, and it might last a long time initially if you have been giving in up until now, but I would bet after a short time when she realizes, she'll stop with the extended screaming. Obviously you'll need to be talking to her during this time even though it seems like she's not listening...and I mean more than just "no"...
The times this did happen to us, I usually would give him a hug and say something like, "I'm sorry bud, I know you really wanted X. But I can't let you have it because of Y. You can play with Z instead. I know you're upset, I understand and that's OK, but I still can't let you have X. Do you want Z now?" and then either hold him, or play with the Z thing myself until he was interested, or if he was totally wigged out and thrashing, I would just sit nearby until he was done and then give him another hug and play with him with Z....
If it seems to be EVERYTHING, then we'll have to do a little more brainstorming with you....does it seem to be everything? Or are there just some things she wants that you don't want her to have? Have you tried swapping or trading her with something she can have? That might also involve a protest, but you can sympathize and empathize, too. I guess first I would get everything possible up and out of her reach, then try to have acceptable alternatives at the ready, things she really does like playing with to swap...if that doesn't help, could you post some really specific situations, and then maybe we can help more?