Youch!It's best not to argue with the wife in those situations.
Finger injuries are terrible.
My dog recently bit me accidentally while playing tug of war. His tooth punched thru the nail bed of my thumb nail. I have a large hole there. Bled like crazy. I did go to the doctor. She said it's going to heal fine. Gave me a tetanus shot.
Hope your finger heals good and doesn't give you too much discomfort.