Yes they can.
most likely because she doesn't want to feel out of place
It is quite common with men that are overweight. It happens with men to grow "moobs" when they get overweight. It is the skin around the male's chest that grows larger.
That probably is not true, at least not the implication that there is some special or specific distaste for overweight men by gay men. Just as there are many straight men and women who prefer full figured people of the opposite gender, there are gay men and lesbians who have similar preferences.
There is a company called King Size that offers clothing for overweight men under that brand name.
For men overweight is 5% over their ideal weight for their height and it is over 13% the ideal weight in women.
All people are different, so there are skinny, average, and overweight men who find overweight men attractive, but most are attracted to people who are fit.
Suspenders.com has suspenders for everyone, even if you are overweight. They also come in different colors for the ladies like pretty pink!
The biggest loser
The word "penetrated" is a verb.
Either you are not penetrated or your uterus is bleeding!
There is someone out there for every one - find someone with common interests and have a confident easy manner and it shouldn't be a problem. It also depends on what you define as 'overweight' - contrary to popular belief most men don't like stick thin women. However, equally most men don't find massively overweight women attractive - the simple reason is what it says about you - whether it is accurate or not being extremely overweight is associated with low self-esteem, laziness and a lack of confidence none of which are attractive qualities.
A friend of mine , who is british , told me that a person (male) who is penetrated by any men is called bumberclat , it's a slang created in the uk