As long as you were shielded properly you will be fine. I am a radiology technologist and I get asked all the time about it since I am pregnant. Patients always question why I'm taking x-rays pregnant. I always shield pregnant ladies with 2 shields. The radiation was just to your wrist which is a small amount. I wouldn't worry about it unless you weren't shielded.
I needed a knee xray and my dr said it was fine to do so. Especially since you're out of the first trimester.
Yeah x-rays to your extremities are typically safe its when you need abdomen, spine, pelvis x-rays that you need to be concerned. As baby_love2014 mentioned you are out of your first trimester so thats good.