as has been stated, you're going to have to chalk this up as a loss. Your wife will gradually get the idea that it is best not to schedule stuff like this on saturday afternoons during the fall. Basically, you have tell her that in the future, when there is an event like this with like 8 different show times over the course of the weekend, that Saturdays are not an option. I have a two year old and am faced with the same stuff every weekend. There are some steps that I have devised to preempt these disputes in the future though.
1.) Plan some REAL family time every Saturday from the time you wake up (I get my girls up at 7am just to really get the show on the road) until noon or so. This involves missing College Gameday but those guys suck really bad anyway. Do things like cook a big breakfast, go to the park, whatever. This is just so the wife can't throw it in your face later that you have been watching football all day.
2.) Always make big plans for Sundays as well during the times that your NFL team isn't playing. This should mean that you make yourself available up to 75% of the day on Sunday as well. She can't complain about that.
3.) Off weeks for the Vols as well as games like Ohio are your real opportunity to shine. This is when you plan, well in advance, a big family weekend with stuff like Elmo or a trip to freaking Dollywood, whatever. Don't mention that it is an off-week and say stuff leading up to it like "i'm so excited about getting to spend this weekend with you all, etc. Really hash it up.
4.) If she is still slow catching on, recommend that she start going to the spa or doing something like that for herself on Saturday mornings while you watch the kids. This gets expensive, otherwise it would be the first option. If she spends several hours at the spa on Saturday, break out the Dickel at noon b/c the rest of your day is bulletproof.