Capitol Hill Medical, if they have openings. One of the best with queer/trans folks. https://www.capitolhillmedical.com/
Also good: Country Doctor clinic (which also takes the local state-provided free healthcare): https://countrydoctor.org/country-doctor-community-clinic/
Queen Anne Medical Associates: http://queenannemedicalassociates.com/
Those are the ones I know of for sure that friends of mine go to. :-}
In a pinch, the UW Medical clinics have shown themselves to be overall very good with queer folks too.
@emanate Thanks!