I realize this is anecdotal, but I've had rabbits on and off since the mid/late 80s... so over a dozen rabbits spread out over years. I never once had an issue with mites. Here on the forum, we've had the occasional owner that has had their rabbits and/or other pets get mites but it is treatable. I would definitely not characterize mites as being a normal part of rabbit ownership.
There are a number of myths, however, that surround rabbits as pets. You may want to take a look at some of these myths (perhaps even with your daughter).
https://rabbitsindoors.weebly.com/myths.html
The care required is often underestimated, as are the ongoing costs of maintaining a rabbit. I'm not trying to discourage you from getting a rabbit, just hoping to let you know what to expect. It isn't uncommon for rabbits to be given up to a shelter because the new owner didn't realize the work or cost involved, or they made the mistake of getting a baby bunny instead of an already-fixed rabbit.
The other sections of the site linked (my site) explains more -- including realistic cost expectations as well as ways to save on those costs.
On a similar note (and not knowing at all any of your background, so this may be information you already know), if you have in your mind the idea that a rabbit can spend most of its time in a cage in your daughter's bedroom and be taken out occasionally for some cuddles, that would be a very false (but very commonly believed) idea. The website linked above was created with the intent to let people see what it truly is like to have an indoor pet rabbit. So feel free to use that as a resource.
In the meantime, even here on RO, the following thread provides some samples of appropriate indoor housing for pet rabbits.
https://www.rabbitsonline.net/threads/2022-indoor-cages-add-your-photo.103444/
