Normal
What kind of tarantula is it? From what I understand, some don't tolerate humid ICUs. I wouldn't put a warming plate in or on the enclosure directly. If you feel it necessary, put the enclosure in a larger enclosure and put the warming plate on the side of the outer enclosure to raise the ambient temperature. Make sure she has water. Put her so that her mouth is over the water dish if possible. Good luck and let us know how she is doing!