Hmm. Well...
(If you knew me in person, you'd know I do this in "real life" too -- hem and haw and clear my throat a lot while thinking.
)
I really think -- and it's only my opinion, mind you -- that we're always in danger of running aground when we start to attach the values of our own times (e.g. anti-sexism) to literature that was written some 400 years ago. The Elizabethan audience for which Shakespear was writing would have expected Hamlet to act in a "manly" manner. They knew how a prince was supposed to act. No woman in the audience would have assumed that a man of Hamlet's "station" could also have a soft side, a touchy-feely sensibility. In this sense, at least, Shakespeare is startlingly modern. He allows a more or less stock character -- a warrior prince of Denmark -- to have doubts, to act indecisively, to be (can I say this?) human. Don't forget that gender roles were quite strictly assigned in Elizabethan England. I suspect that a large part of the audience was still in shock over the fact that England now had -- for the first time in its history -- an unmarried queen, instead of a woman who would have been a queen in name only and in reality no more than a consort to her husband, the king (even if that husband was not actually styles 'king' but, rather, 'prince consort'.) Elizabeth's half-sister Mary had, at least, been married to that Spanish popinjay.
But the royal diddlings are really beside the point. Fortinbras -- and, to a lesser extent, Horatio, too -- provide sobering masculine contrasts to Hamlet's indecision and vacillation. Foortinbras' speech at the end of the play provides a kind of validation and expiation to Hamlet's previous actions throughout the story. He orders four captains to carry Hamlet off "like a soldier." The stage is littered with corpses at this point! In the eyes of a true soldier, such as Fortinbras is, Hamlet has finally proved that he is of royal blood indeed. I see this not as a gender-specific judgement so much as an expression of the rights and responsibilities of one of royal station.
Ahem. Uh...