My daughter and I made a little game (mostly to teach her programming) and it turned out not too bad. I thought it could be a good motivation for her to get it

My daughter and I made a little game (mostly to teach her programming) and it turned out not too bad. I thought it could be a good motivation for her to get it into the Apple App Store too, where her friends can see and download it. We don't want any money, so no monetizing. The app will not be popular as we don't intend to do any marketing. I realize that this is quite the opposite of what Apple wants. Suppose the quality of the app is not worse than that of its paid and ad infested competitors, my question is: Does it have a chance to get past the review? Does it have a chance to stay in the App Store in the long run, assuming we do all the necessary updates for new iOS versions and critical bug fixes but nothing more? Basically my question is: Will this be an uphill battle, because Apple doesn't earn anything from us? If anyone has experience with a completely free iOS app, I would love to hear from you.