Q: Does having a digital rectal exam break one’s wudhu?

I would also like to know is it the same hukm for male and female, and would it be permissible for a male doctor or a non muslim female doctor to do this on a muslim female.

A digital rectal examination (or exam) is used to see if you might have a prostate problem or prostate cancer. It involves your doctor or nurse feeling your prostate through the wall of the back passage (rectum).
The doctor or nurse will ask you to lie on your side on an examination table, with your knees brought up towards your chest. They will slide a finger gently into your back passage. They’ll wear gloves and put some gel on their finger to make it more comfortable.

ANS:

The confounded “rectal exam” will nullify wudhu as well as the fast.

It is not permissible for a woman to submit to such an immoral
examination by a male doctor. If such an exam is imperative, then she
must find a female physician. There are many non-Muslim female
doctors available.