Hi.
If you can tell from when you are feeling this pain then I can give you better advice.
You have to stop doing push ups for a while so that pain will subside.
There might be chances of some sprain because of weight bearing on wrist.
Next Steps
you can take video consultation. so that one can observe your wrist for swelling and other symptoms and can better advice you.
Health Tips
you can try contrast bath therapy to relieve pain i.e. put your hands in hot water for 5 min. and then cold for 5 min and repeat this for 20 - 25 min. After complete pain relieve only you can do wrist strengthening.