Here is a sampling of the known works of Mary, Countess of Pembroke.
Just dip in anywhere. It should be painfully apparent to anybody with a working knowledge of Shakespeare that she is not up to his weight.
There's a reason that her work has languished in obscurity. It's not bad, but it's pretty forgettable stuff in the context of the 16th century. I don't have my copy of C.S. Lewis's comprehensive survey of 16th c. literature, but I don't think she even rated a mention in about 600 pages.
I have to agree with you about Mary Sidney, but that does not mean there’s no merit in fairly examining the claims of other candidates.