Put on gloves if you need to.
I remember when I had my first hen go broody. Being the wide-eyed innocent that I was, I had no idea that they would be aggressive when they were broody. HA! I was totally offended, and refused to let it faze me at all. I handled the hen extensively, till she gave up. After that, I used broodiness as an opportunity to tame my wilder hens. It works pretty well.
If the eggs aren't fertile, you really should break her of her broodiness. It's unlikely that she'll stop being broody on her own. You can try the easier methods, like putting her off the nest repeatedly. It may or may not work. I haven't had much luck with it personally. My hens are very determined, and I have found that the best way to break them is to put them in a cage with no bedding material at all. Just food and water. I leave them in there until they are broken of their broodiness. It takes 3 days to a week, depending on the hen, and also on how long she has been broody before I put her in the cage.
As for whether you can eat the eggs or not. I'm not sure. I can offer you a suggestion, though. Use 2 bowls. Break an egg into a bowl. If it looks okay, pour it into the second bowl. Do the same with each egg. That way if one seems gross in any way, you can just throw that particular egg away without ruining the whole bunch of them.