My boyfriend eats meat everyday and I am a vegan. We take turns making dinner for each other. I do not cook any kind of meat, he is always responsible for that. He does not cook any kind of tofu/soy/tempeh or any beans, I am responsible for that. But we will take turns making fresh bread, salads, stir-frys, vegan pancakes, veggie spagetti sauce, etc. This division of labor ensures that we both have the food we like and can share the joys of cooking and eating together.
It doesn't say from your post the reasons that you are not cooking the meat you want to eat:
If it's because you are not familiar with cooking, ask a friend or take a cooking class or look online for detailed instructions about stuff.
If it's because you wife cooking all the meals is part of the division of labor, maybe altering it a bit so that she does something else to give you time to cook the meat you want, i.e. if you are doing the grocery shopping or the laundry or the bills, maybe there is part she can do so you can have time to cook what you want.
Although you may already know this, your wife's cooking is very good for your health, if you have any family history of heart disease, it might be useful to consult with a nutritionist about the benefits of keeping the meat consumption at the current level.