Some of us would really like not to have to talk to anyone for the first hour after we get up. (That's been the hardest part of parenting for me, my kids actually want to talk to me when I get up!) If you can get to a place of monosyllabic civility, you might not try to push it any further.
Here's what getting dd up looks like (she's my hard to get up child, ds gets up naturally on his own at 7 am):
7:05 - dh tells her her it's time to get up. She climbs into bed with me.
7:10 - reminder her it's time to get up.
7:15 - wake her up again when my alarm goes off. Dh asks her what she wants for breakfast and lunch (we pack her lunch).
7:20 - push her more or less gently out of my bed. Pull back the covers and get her up.
Depending on the morning, there's usually a couple of really firm reminders about getting dressed and/or full out yelling at her to get DRESSED already.
Question: Is your dd homeschooled? (From your description it sounds like it.) What would happen if you just let her get up on her own for a couple of weeks?
Personally, I think a 10 year old gets 2 reminders, and then I'm free to go do my stuff. If she doesn't get up, she gets to deal with the consequences. She needs to figure out a way to get herself out of bed. (our dd has an alarm clock, but she comes in to sleep next to our bed 9 out of 10 nights, so it's not used. She's also only 6. When she's 10, I"ll assume she'll use the alarm.) Just because it goes off for 45 minutes and she doesn't like that (does she know about the snooze button?) doesn't mean that you get to be her alarm.
Have you thought about one of those natural light alarms? I have no idea how they work or whether they work on those of us whose natural body clock is go to bed at 1 am and get up at 10 am.