These things can work both ways. Women get better service and prices at repair shops than men do. People are very much individuals so there is no reliable prediction for this situation.
It's been my experience that women that aren't very knowledgeable about car repair and parts get a bad deal the majority of the time. That obviously doesn't apply to you, so your experience is probably well outside the norm.
It happens to guys as well. But not as often.
I've had many lady friends over the years get ripped off or get bad quotes. And a lot of the time they didn't want me to go back to the shop because they are embarrassed.
I had one friend get a tune-up on her car that was cost roughly 8 times the going rate for the things that were done. I had her show me the invoice. We went to her car and I showed her how they literally hasn't even touched or moved things they said we're replaced. Anne they charged her for relaxing 8 spark plugs. She had a 4 cylinder. Battery cables replaced that still has slight corrosion. I think they changed her oil, but pretty much nothing more.
One of my best friends will call me to double check before going to a mechanic. He'll describe symptoms and I'll give me best ideas of what it might be. And what night be required to fix it. He goes in and knows some of the terminology and lingo regarding the problem, and will drop a few "thoughts he has" regarding those fixes. Good service and work, because being an informed consumer is good for you.
If you can't phone a friend, or know anyone that is knowledge about your issue, post here in the mechanical section. Ask questions. Go on YouTube and learn possible fixes and what the parts and terms mean.
And how they talk about it in the video. Then when you do go to the mechanic, drop a few hints that you know these things. Never mention you looked it up or got your info from anywhere else. You know this stuff. Period. Be confident and normal when speaking to them about it, as if you were talking about anything else that you might be more knowledgeable about. Hell, even sprinkle some of your real knowledge about something you know so they realize they're dealing with someone who "knows things".
Its not as involved as it seems reading the above. But it is effective. And not just for mechanical work.