Suggest Treatment For Wrist Pain

I have a strained wrist after doing a lot of pushups (with what i'm pretty sure was poor technique). It's been a week and it still hurts-I am currently taking advil to manage the pain. I was thinking about heating my wrist- my only question is- would it be counter-intuitive to take an anti-inflammatory (advil) and use a heat pad at the same time? Any other treatment recommendations would be greatly appreciated. Thanks!