I go to the Instituto Otorrinolaringológico Arauz. I've had no problems speaking Spanglish with several of the doctors. But you can request an appt with someone with fluid English.
I go to the Instituto Superior de Otorrinolaringología on Pasteur, and IIRC there are 1 or 2 docs who speak English that asked to practice their English with me (I didn't have the heart to tell them to use Duolingo after work )