I notice that your location is Bangkok. I am not sure what the cultural norms are there for therapy. I know several therapists that practice out of their home, so that might not be unusual. I also don't know the age of consent in your country; however, since one therapist said they would not see someone underage, my guess is that 17 is considered underage for your area. It might be difficult to find someone that is willing to see you. Are you close to turning 18 and is 18 considered an adult in your country? If so, you might be best using the school counselor for support until you turn 18, and you'd have more options in a therapist.

If you have a while to go, then I'd recommend shopping around, it sounds like you didn't feel comfortable with this therapist.

I also agree with:
And if possible, look for complaints.

First and foremost, it is your therapy. If it feels like something is off, go with your gut here. There are others out there. You might have to wait until you are at university. I don't know how hard that would be for you/what level of crisis you are in... if you are relatively stable, waiting is much better than working with someone that is not right for you. Bad therapy can really mess people up, even when the therapist really is trying their best and has best intentions.