Yes, Gretchen Carlson should sue Fox News for age discrimination. The news agency is notorious in its differential treatment of women, letting women who are older go while keeping men who are older on the air. Carlson filed a suit alleging both age and sex discrimination when her contract was not renewed, and she was right to do so.
I think that Gretchen Carlson should sue Fox News. Her age/physical appearance in no way affects her ability to deliver news to the American Public. I think it is unfortunate that we focus entirely on the physical appearance of our newscasters. If she looks presentable, that should suffice. Fox News firing her due to her age limits her ability to find work elsewhere.
Yes, Gretchen Carlson cannot claim the right to sue Fox News for age discrimination. Her career was scrutinized due to poor ratings, not age. As such, she does have the right to sue for other labor related issued; including but not limited to alleged sexual harassment. Carlson suing for age discrimination would not be valid.
When Fox News made the decision to not renew Gretchen Carlson's contract, she decided that she was going to sue Fox for sexual harassment. If she then decided to try and sue them for age discrimination, it would seem as though she was simply trying to get some sort of settlement for being let go. It seems to me that she is simply looking for things to sue Fox for in order to save her reputation.