Yeah just be careful~. By 9 days and already having eaten she's probably adjusting fine. She may still be afraid of you though so keep any handling short for a while. And don't grab her tail.
If temps are swinging that much have you considered a tub? That could prove to be more stable. That's actually a lot of variance considering 78-83 is pretty acceptable. Yours is really swinging between 75 and 87 degrees?