You could ask your doctor and see what they recommend. When I was discharged from the hospital I was told I couldn't do anything for two weeks, which was limiting the amount I went up stairs, no driving, no lifting things over 6 pounds, no exercise, and resting 4x a day. I don't know if this is just a them thing, or a general thing. (Needless to say I didn't really follow it tooo well and I'm fine but that might just be me)
I think it depends on how you are feeling and doing. If you think your up to it then I don't see why not give it a try but make sure to take it easy. You can always give your dr's office a call and ask if there's any reason you shouldn't.
Doing Yoga won't effect your milk supply. Make sure if you aren't with your little one during a feeding that you pump. Doing some things you will find it more comfortable to be empty before starting. Also, make sure you drink water and don't get dehydrated.
I also think it depends on how you feel. I had a c section and was on my tread mill after 2 weeks. (prob not recommended, but I have issues...) my feet were still too swolen to wear my normal running shoes, but it made me feel good.
Go slow & see how u feel.
My yoga teacher told me that I could resume classes after I give birth when the bleeding stops. She also said no poses that have inversions till 6 weeks after delivery. I don't know if I would do any wide legged poses like till your 'whoo-ha' heals up either :) That just sounds painful!
Maybe just do 1/2 the class the first few times. I know with me Yoga feels so good while you are doing it but it can catch up to you the next day. I would hate for you to spend the weekend sore. Take it easy!