This thread reminds me that during the heyday of rock 'n roll it was actually quite common to have both male and female versions of the same song. We can start with the country classic "Wild Side of Life" Then Kitty Wells came up with the classic answer that "It Wasn't God Who Made Honky Tonk Angels". Then in 1981 Waylon and Jessi combined these into one song. Link here.

https://www.youtube.com/watch?v=iwnDIdLr9nQ

Other examples include the Jim Reeves classic "He'll Have to Go". Later on a lady named Jeannie Black recorded an answer titled "He'll Have to Stay". And Damita Jo recorded "I'll Save the Last Dance for You", a response to the Drifters' classic "Save the Last Dance for Me." Doesn't seem to be done much these days, however.

But down through the years there have been many songs that were hits for both male and female artist, the most obvious probably being "I Heard it Through the Grapevine", a hit first for Gladys Knight and then later by Marvin Gaye.