I had the same issue and may have posted about it, but for me it took a whole year while it gradually got better after accepting that it was mental (and only then after a doctor did a whole batter of tests and actually investigated the issue, and came up with nothing).
Not a doctor, but I would be worried if there are other similar symptoms elsewhere in the body, or if your injured wrist had an sudden/forceful injury recently (eg falling down and breaking your wrist type, not a gradual buildup/repetitive injury). Chronic damage/injury is definitely a concern but it won't get worse by itself without something else. But going to the GP/family doctor isn't a bad idea at all.
Right, that's why I was only ready to believe it after the doctor did the battery of tests. The checks were very thorough: nerves, vascular system, blood tests, etc. They took a week, and I received diagnoses from doctors of two specialties which were reviewed together.