OP, I'll be a voice of understanding here- I'm exactly the same way. I freak out about touching raw meat. and I'm that way when I'm NOT pg. I actually stopped eating meat a year or two ago largely bc of the ick factor and worry about germs. I wouldn't dream of touching raw meat when pg.
I'm not an abnormally anxious person. Really, raw meat is the only thing that actually makes me stressed like that. I personally don't feel like I need professional help, or just need to chill as some of the pp's have suggested. I just need a well-balanced veg diet

I mean it is not like, in the first world, we are required to touch raw meat ever, so, to me, it isn't a phobia that merits much attention, just a little adjustment and its gone. I mean, until I saw this post, I hadn't thought about raw meat in a loong time...
My DH is on board, tho (or at least understanding- he cooks his own meat when he wants some) Maybe yours would take over meat-prep for the pg?
I certainly agree that reducing your stress is important, but if that means not touching meat, as long as you pay attention to your diet, that seems perfectly therapeutic to me.