I don't think we will ever know unless it was opened. Ovaries are clusters of ova, normally yellow in color. I don't think it would be that. I am curious if she is still laying though.
It's just so reddish, like what I guess paint makers call dusky rose or some such, like there's blood vessels in it. It could be a tumor perhaps which had a small attachment and broke free into the body only to be incorporated into an egg. I don't know. If it's soft and so pink, I would be leaning towards 'tumor' --- or, as you said Ray n Debi, maybe an ovary. Not that it seems typical for that but nobody's confirmed anything yet. Strange, anyway.