When you consider all the gear, travel, meals, etc...wild game is pretty expensive! But you are getting meat that is inaccessible by any other means so in those terms, it's priceless.

I tried keeping a record of all my hunting expenses last year. I started in January and gave up on January 31st because I didn't like seeing the truth

That said, let's just take my bow - $500 for the bow, $130 in arrows, $70 in broadheads. So $700. If I shoot a 100 pound doe, I'll get 40 pounds of meat. That's $17.50 per pound. However, I shot two deer this year (a 140 pound buck and a doe) putting me at around $7.29 a pound. Every deer I shoot the cost per pound decreases. Same with all the other equipment I have invested in. I'm kind of an equipment geek so I'm always buying stuff, but I don't think my dad has bought anything for deer hunting in about 25 years aside from a license and bullets so his meat is pretty cheap.

So long story short, tell your wife you need to shoot more deer to increase the ROI on your investment. It just makes fiscal sense! And you are not just paying for meat, you're paying for the experience. Break the costs down by hour of hunting and you'll find that it is one of the cheapest activities you can enjoy.