Who is the patron saint of massage therapy?

I would go with Saints Zenaida and Philonella, the first unmercenary physicians. They founded a healing spa before 100 AD and this is what wikipedia says, in part:

Saints Zenaida (Zenaida of Tarsus) and Philonella (d. circa 100) were traditionally the first Christian physicians after Luke the Evangelist, and the first "unmercenaries" (physicians who would not accept fees from their patients).[1] They are particularly venerated in Eastern Christianity

The sisters set themselves in opposition to the prevailing custom. On locating a cave with a mineral spring, they set up a chapel and cells for themselves, and opened a clinic where they treated all who came to them regardless of their ability to pay.[1]