Why? Take It to the Limit isn't a male or female song, IMO. It would be different if a female singer was taking on an overtly male song like, I dunno, Good Day in Hell or Those Shoes, but even that may be interesting.
Etta James did a kick-ass version of Take It to the Limit. This live version is more subdued than the album version (which has what sounds like a male gospel choir singing back-up) but it's got soul: https://www.youtube.com/watch?v=1r0QteIu_uA