2 named female characters: Queen Gudrun and Olga (Gudrun is only referred to by name once so it's not surprising GPC did not remember it). Bjork's cameo as the seeress does not receive a name. None of the women speak to each other.
For what it's worth, neither Hamlet or the orginal legend of Amleth pass the test.
The Queen technically has a name but I did not hear it mentioned in the film, therefore she is known to viewers as 'his mother'.