Having A Gay Old Time

I am in college and have to go to a certain office to meet with a person named Gay. Up until this point, I have only corresponded with Gay via email, so I do not know what they look like or even their gender. I am in the waiting room when this happens.

Employee: “[My Name], please come back with me.”

Me: “Are you Gay?”

Employee: *Shocked* “Excuse me?”

I suddenly realize what I have asked and decide to phrase it better.

Me: “I have an appointment with Gay. Is that you?”

Employee: “No, just follow me and I’ll take you to her.”

I could have phrased that a little better, but if they knew my appointment was with Gay, surely they could have realized what I was asking?