Well, there are predators everywhere - so definitely always have a Plan B.
IF there are only old men who are sober at the meeting, maybe just listen to what they say. I've never seen a meeting where I was the only woman.
I know you're in the boonies, but have you done a search for Women Only AA meetings? Maybe call your local AA phone number and ask about that. I liked womens' meetings much better - for a lot of reasons.
And no, they won't go on for hours, and you're free to leave at any time. I left a lot of meetings early for various reasons. It's kind of like church in its structure. You're not locked in! Most meetings here are one hour, or at the very most one and a half hours. Ten minutes of that is someone reading the introductory material out loud.