It is ok with me if the story is told by a man/woman but is a story that can happen to any human being. If it is a very gender specific story being told (abortion, rape,...) the gender of the singer makes a difference to me.

(Of course one always can usurp a song even against the will of the writer or singer. The German (pop) song He belongs to me like my name at the door... (my transl.) has of course originally been sung by a female singer but has now been usurped as a hymn for the gay. The gender correct singer for them of course has to be male.)

Wolfgang