I fell backwards onto my wrist it hurt a bit and swelled a little it hurts a lot to do push-ups but a can move it what could be wrong i did it 3 day a?

Wrist sprain: Sounds like you have sustained a wrist sprain, this could mean that you have damaged bones, ligaments, or tendons around your wrist. Most mild sprains resolve with rest, icing, and anti-inflammatories within 2 weeks. If you symptoms persist, further investigation and treatment is necessary. See your doctor. Recommendation for therapy and MRI will be likely.