This hits me particularly hard, so here is a personal story of mine...
Light CW for medical malpractice.
When I started HRT, I saw a doctor in a clinic that was supposedly "good" with trans health care and generally was known to treat a lot of trans people where I live. The doctor I was assigned to was an old white guy (yes, it mattered). He did prescribe me HRT as I wanted, but refused to adjust the dosage beyond anything that he usually prescribed. He prescribed me what he prescribed for everybody else for many years. Which may have been fine for lots of people, but it was a disaster for me.
Due to a particular metabolic quirk I seem to possess, my body can't absorb hormones as well as others. Routine blood tests showed that my hormone levels were critically low with the dosage the doctor prescribed me. Neither the test results, nor my own pleading did anything to change his mind. He always dismissed it as "trans people always want more" and refused to adjust the dosage. Meanwhile the side effects were so severe that other health care professionals were worried for my well-being. [If you want to know what happened to me, look up what having a combination of critically low levels or testosterone and estrogen do. I was a text book example of most of those symptoms.]
I probably don't need it to say it around here, but nonetheless: Telling a trans person that they only want a higher dosage because "trans people always want more" is transphobic prejudice, particularly when somebody refuses to acknowledge the individual's problems and even the facts on hand, such as blood tests that done by his own clinic.
It took me 1,5 years before I finally found another doctor who was willing to actually deal with my case.
So, no. A transphobic doctor will not give good care to a trans patient, not even if they are have a reputation for treating trans people and are providing trans specific health care, like HRT.