If the statement, "if i am hungry, then i am not happy," is assumed to be true, is its inverse, "if i am not hungry, then i must be happy," also always true?

This is incorrect.

It is not always true because there might be other reasons for your unhappiness that are not related to hunger.

There is nothing inherently wrong with being gay. speaking generally, opposition to gays are usually judged on people's moral basis whether it be religion, experience or other factors. to conclude, there is no objective answer to this question only subjective ones that rely on people's idea of what is right and wrong.