I'd encourage her, I very much doubt that the two of you will overlap in likes in a bad way, and once she starts making stuff from wood, she might just understand why you spend as much time in the shop as you do.
One nice thing about carving is for most pieces it is fairly portable, in fact you can make up a good lap bench for her to carve on, so she can do so just about anywhere.
I'd be thrilled if my wife were interested, but she is not, not even sort of
Then again, we do spend 10 to 12 hours plus a day together working, so maybe having separate hobbies is a good thing..........?
The pessimist complains about the wind; the optimist expects it to change; the realist adjusts the sails.
William Arthur Ward