The wrist is very complex and could be a number of things, if it's in the middle could be the carpal tunnel, if it's the ulna side it could be your tfcc ligaments, that sounds likely from you pushing down to get out of a chair etc. as far as a physio goes there is The Clinic on abbeydale Road in Sheffield, they specialise in climbing injuries and would be a good place to start.
Post edited at 21:35