Going to back up what the others said.

My husband and me both take prep, his first Doctor refused since it promoted "promiscuity" and would only prescribe it if you are in a relationship with someone positive.

Which is bull.

Find a new doctor that is actually sex positive and won't refuse it for stupid reasons.

(Admittedly I am lucky where I am though to have a doctors office that focuses on LGBT issues, which happens to include HIV prevention/care)

The get a new doctor, one who values your health more than their antiquated morals.

then get a new doctor. there is no medical rationale behind this, and they are letting irrational personal feelings get in the way of your good health

Go to a doctor or clinic that focuses on the LGBT community. It's very easy to get, and they'll take care of setting you up on the Gilead copay assistance program, so the medication should be completely free. Their program will cover up to $7,200/year in copays.

Did they give a reason for their discomfort?

You can get it prescribed online. I think you just video chat with a doctor, then they prescribe. Plushcare and Nurx are 2 sites I found just by searching.

Get a second opinion.