Do I HAVE to go to the same center for treatment?

So to make a long story short. I got gonorrhea from this guy and the whole experience was already pretty traumatic considering it wasn’t completely consensual (I agreed to certain acts but not others). I just found out today and the doctor said she put in for me to get an injection which I want to do tomorrow. The use is the urgent care center I went to is one that 2 of my mom’s friends work at and it’s already super awkward going there. I’m a very vulnerable place right now and I honestly don’t want to go in and be asked “what are you here for?” and have to tell them. I know confidentiality and all but it’s uncomfortable.

Do I have to go back to this same urgent care or could I go to another one within the company to get my injection?