My response will probably sound a little 'softer' than some of the others, but here it goes......I would gather and share with your wife, a few accounts from guys, gals, or children who went hunting for the first time. What you will find in 90+% of those stories are irreplaceable memories. There is not a person that I know that has been big game hunting and been successful in harvesting that can't recall every last detail of their first hunt (and most after that). Every wife is different but here are some other strategies:
1. Discuss with her the need that most states have to 'manage the herds', and how taking more deer usually equates to a healthier herd, when properly managed. You just want to do your part!
2. Decide ahead of time and commit to donating your deer meat to a needy family. There are tons of 'hunters for hunger' sites that will accept your game, free of charge, and feed someone who needs it......especially now!
3. There is a shortage of beef on the horizon due to processors having to shut down over Covid 19 ...nuff said.
4. Offer to take a son, daughter, nephew, niece, grandson, or other first time hunter with you and learn together, starting with Hunter's safety. This will just enhance your memories.
5. Remind here that deer camp is seldom most about the kill, but rather the comradery. Deer camp is just a venue to bond with your buds....success is the icing on the cake.
6. If all that doesn't work, tell here that after 34 years of a great marriage, you though it might be nice to go on a week long vacation without her, and you might realized that she feels the same way (be careful with this one). Be prepared to set her up with a weekend with a friend/daughter/granddaughter during the same time frame that you are in the woods for them to do whatever they want. 3 day trip to Vegas, Weekend at the spa, tickets to the price is right, or a wine tasting tour....whatever.
7. A bad back along with most other similar conditions should not be a barrier to hunting. There is always a plan that can be developed to take the grunt work out of the hunt, whether it's with someone younger, or paying for services.
You really started it now......you are going to have to tell us how it goes from here.....provided your skin is thick enough to hear all the feedback.