'pro-physician' is formed from the prefix 'pro-' (originating in Latin 'pro') meaning 'for' and the word 'physician' (from Old French 'fisicien' ultimately from Greek roots), so literally 'for the physician'.

'physician' comes into English via Old French 'fisicien' from Latin/Greek roots (Latin 'physica' / Greek 'phusikos' from 'phusis' meaning 'nature'); the modern compound 'pro-physician' is a recent English formation that combines the prefix 'pro-' with 'physician' to denote support for doctors.

The parts 'pro-' and 'physician' originally meant 'for' and 'doctor/healer' respectively; combined recently to form the compound meaning 'in favor of physicians' or 'supportive of physicians'.