It sounds like you have a few reservations. That's not unusual. Just make it clear to her from the outset that this relationship will be on your terms. You will see each other when it is convenient for you. You will do things that you want to do, for as long as you want to. She chased you down, remember? Tell her that this is how it will be. If she's not up for that, fine. You weren't looking for a relationship in the first place.
Wait... is she hot? If so, forget everything I said. Just go for it. She sounds great.
I gotta say as a female, if I met a new guy and he treated me like that, saying that it's on his terms, we'll see one another when HE finds it convenient, he'll keep doing what he wants to do, and so forth, I'd run a mile. It's just too much for a brand new thing, it would make me think the guy had a huge ego or didn't really know what he was doing in relationships. And sound arrogant and cocky. I would think well, forget I said anything, and continue the search for someone excited to date me rather than laying a load of ground rules down from the start.
It's good to keep things working for you, to not put yourself out to see someone, obviously essential to maintain your own interests, but in new 'relationships' or whatever this is, surely a 'show' and not 'tell' attitude is better? You can convey you're secure and don't need her and are gonna keep your own life going by the way you act, not seeing her too often, not always being available, but if someone actually says it all it doesn't come across well I don't think. Not sure if you were joking about that whole bit of the post Orbert by the 'if she's hot' but on the offchance you weren't, those were my thoughts. I mean there are some women out there who would just see this as a challenge and probably dig the whole 'being kept at a distance' thing but possibly not the totally most emotionally secure and stable people...
Same goes for this girl MetalJunkie. If you want a night off a week for whatever, or you are broke, say so. If she gets pissed and runs, as Orbert said, tough for her. You have your needs, and you didn't fully want this anyway. Things might change, she might be awesome and so on. Take the ride with her, and if it ends, well the time you had on that ride was fun.
Always surprises me when I see stuff like this about having a night off a week, in a new relationship I'd have said it's pretty weird to see each other every single night until it naturally develops into that months down the line. People shouldn't have to ask for a night off, it should be assumed you're 'off' until one of you asks the other out on a date or to hang out, at least at first.
Sorry to hear about the end of your marriage.