i think it would be a good idea, but knowing her, i know how small a window she has with patience, which is what will kill it. unless she actually enjoys it. i think she has the responsibility to use the bow for its intended purposes.
Honestly, Go for it. Not only will it be good for her, and for the both of you*since you have NOTHING to agree upon* it will be good for you and the Misses, as well. since she will see you bonding with her.