I was reminded of this story while trying to answer a question on this site. Can anyone tell me the title and author?
Set in America and featuring the (alien humanoid) governor of Earth after a conquering invasion. The invasion was only successful because the aliens have a force-shield that will even deflect atomic weapons. He reflects that if they had arrived 50 years earlier it wouldn't have succeeded because the humans didn't have atomic weapons then (I don't remember/understand the logic of this). He also reflects that the officer in charge of the invasion narrowly escaped being executed for incompetence; cultures at the current level of humankind usually petition to join the empire for the trade-advantages. The only thing that saved the officer is that Earth's mental-health/psychiatry isn't up to empire standards.
The governor doesn't understand why Earth had destroyed all its modern depictive art, anything post-raphaelite. His secretary is a skinny female human whose husband is in a home for the mentally ill.
There is one scene in which the governor is invited to choose from a line-up of juno-esque women and deliberately doesn't choose the one he is expected to choose. He takes his choice in his official car and she suggests the driver takes a different route which takes them over a land-mine. Only the governor survives (because of the force-field).
The governor forms a liaison with the most voluptuous woman from the previous line-up. Eventually the humans invent the force-field technology for themselves and force the aliens off-planet. The governor invites the woman to come with him and she accepts but says there is something he should know first. Present-day human culture finds skinny attractive and his secretary was Miss America at some time. I think he says he knew of the shift in opinion.
At some point he brings out the cured husband of the secretary but I can't remember where that fits in the story-line.