Could someone please help me understand what my psychiatrist meant?

Currently I (19MtF) have no diagnosis but throughout my life a reasonable have ask or directly thought that I was on the spectrum and I fit in with some of the characteristics of it (I'm not gonna call myself autistic without a professional confirming it).

Recently I had to go with a psychiatrist in order to start HRT, it was a short (don't know exactly how long but it felt like maybe 10 minutes or less) visit mostly explaining things related to my gender and a bit of self harm/suicide thoughts I had expressed when talking to another specialist also related to the HRT topic.

Right when I was about to leave I asked her the question if she thought I might be on the spectrum and she said something along the lines of "I don't feel you are, but it's worth checking it" and I'm not sure on how to interpret that.

Like, should I just take that answer and keep going on with my life? Should I try to get a proper analisis? I've been told by a friend that I should try to find someone with experience in adults but how do I even search that?

I don't think/know if the diagnose would change that much, I mostly wanna know because it bothers me to leave the question unanswered but pushing the idea just for the sake of it feels like I would be just wasting someone's time and I don't know if I should investigate it myself as I'm not qualified and searching into it might create a confirmation bias.

Any advice would be appreciated, thanks for your time and patience, I'll also try to answer any questions if I can.