I remember this story where it followed an alien in a society where long distance space travel was done by transferring your mind to another body on a distant planet. There were people who made a living by renting their bodies to be used by aliens traveling to their planet. The protagonist is a female alien so it's not "Mindswap". There was sex in it but it wasn't graphic.
It's been a ridiculous number of years since I read it, but this makes me think of Chaining the Lady, the second book of Piers Anthony's "Cluster" series.
Quoting the series' Wikipedia page:
The book opens with the discovery that Andromeda, the enemy galaxy of the first novel, has discovered the secret of involuntary hosting: a sufficiently higher-Kirlian aura can in effect possess an individual of a lower-Kirlian aura. This has enabled Andromeda to secretly infiltrate the highest levels of government in Sphere Sol and its allies and resurrect its plot to steal the energy of the Milky Way.
Melody of Mintaka, a direct descendant of Flint of Outworld and his Andromedan nemesis, has a Kirlian aura of well over 200. She is pressed into service to "possess" and interrogate a captured Andromedan transferee. Melody, hosted in the young and beautiful body of Yael of Dragon, must like her ancestor Flint find a way to defeat the Andromedan threat and save the galaxy.
So it matches a female alien protagonist, who mind-shares with hosts of other races as a form of space travel. Being an Anthony novel, it has lots of weird, not quite explicit, alien sex.