Homographs are words that are spelled the same but have different meanings and sometimes different pronunciations. "Resent" has a very specific meaning related to feeling bitterness or indignation.
However, you could argue that "resent" and "recent" are near homographs. They have the same spelling but different pronunciations and meanings.
It's worth noting that "resent" is also a verb, while "recent" is an adjective.