Hi aurora!
Other posters have already given you some excellent suggestions. I just wanted to try to clarify something. You wrote- “from reading here, I think that my gender will be relevant to where I can go…” Your gender is not relevant to where you can go to explore Orthodox Judaism. All the sites mentioned, and other organizations involved in “kiruv”- bringing Jews closer to experiencing Judaism, will welcome you regardless of your gender.
Wishing you the best of luck!