It's a fairly niche course, so they perhaps won't have floods of applicants. You've got good post degree experience, though I guess it will depend whether that's months or years, you don't give a timeline. Five years post UG, it probably won't be an issue, 5 months post then it might still be.
PG funding is always competitive, butgenerally Ox and Cam have more than most, and anything medical has more than most. You have to explore all options and see if you get lucky.