Here in the UK we usually call them physiotherapists.

* Don't get physiotherapists mixed up with low brow massage parlors. Physiotherapists have a degree in what they do and it's a job like any other job and there is no reason you should think they would untrustworthy.

2

It depends on what country you are in. If you perform a simple web search with the word physiotherapists and the country or area that you are in you should be able to find what you are looking for.

Yes, and actually most veterinary physiotherapists are not human physiotherapists. They are, however, veterinarians for the most part.