It’s a mutual decision. There are elements of power differential in every relationship though, I don’t think women or men for that matter have more power when it comes to starting one.
As a woman, assuming the other party is male, I’d be down. But only less than a handful of times before the inevitable happens and my mind plays games with me.
I’m still fairly new to this having only done this for a few months but my favourite clients are older men in their fifties. They know what they want, often aren’t obnoxious, and seem to know what they’re doing. For reference I’m 24.