My corn snake didn't eat her food

[Andy_G]

Whoever informed you that inbreeding is something snakes do not do has absolutely no clue about what they are talking about and I would suggest that you avoid taking any further advice from them.

Her skin does look to be a bit stretched in the rear third based on that pic, so she very well may be gravid. If you pick her up in the middle, you should be able to see where the snake thickens up and eggs begin if she is in fact gravid. I suggest for you to do some independent research on what to do if you are expecting corn snake eggs and if there are any outstanding questions after you have done so then we are here to help. This information is readily available online as well as in books.