not that it's a big deal but I MAY have thrown my dillema in there
No, they come back to you anywhere from a few hours to a few days later.
In the meantime, they are "owned" by the Rift. I haven't tried it, but I think if you typed subeta.net/pets/rift/PETSNAME, you should be able to see your pet.
[Edit]Just tried it, and the link you want is https://subeta.net/pets/%5BNPC%5D+The+Rift/PETNAME to see your pet. They'll chill there until the Rift is done with them, and then they'll come back riftborn color.
They'll come back, worry not. Give the Rift a couple days to have its fun. I think mine took two days, I forget. XD

Thanks! But, uh, now I don't know how I'd type my let's name in? It had spaces in it so that might complicate that...