Is gay anal sex with condom is any health problem comes after sex?

Possibly. A condom is very protective but a few percentage of time it may not be. So the same way that a woman may occasionally become pregnant when the man uses a condom, anal intercourse could occasionally be associated with a sexually transmitted disease, including gonorrhea, syphilis, HIV infection.
Homosexuality. Yes. Of course. There are many gay men and gay women in the world and they can have a full and rich life that includes intimacy and sex. Condoms are a very good protection against unwanted stds. I always have my gay patients learn the stds and how to prevent them. I always test for their herpes and hepatitis status and then do hvi and syphilis testing regularly.