So I didn't play AC for about a week, and of course my absolute favorite villager moved away. If I find her again on this website, will she move back if I ask, or is she permanently gone? Thanks!
I'm not sure what you mean about finding her again on this website?
You can invite a villager again, but you need to cycle through 16 villagers. That means moving 16 villagers in and out of your town. Once you've done that, you can get that villager again (it won't be the same one exactly. If your villager had moved out into a friend's town, for example, when you invited that villager back she'd remember you. Otherwise, it's the same but she won't remember you).
Sixteen villagers since. It's a pain but your 16 cycle starts the moment somebody else moves out after your dreamie.
Since you have 10 villagers you might have to sacrifice another dreamie for the cycle. If you're left with 9 dreamies and invite a random one in you wont be able to get the random one out since the latest move in pretty much never pings.