People who are frequently called “Mormons” are really members of The Church of Jesus Christ of Latter-day Saints. It is more proper to refer to these people as “Latter-day Saints” or “LDS” or even “Saints”. But “Mormon” works just fine. It isn’t as offensive to most people as it was back in the 1800’s.
"We believe that we have a right to embrace all, and every item of truth, without limitation or without being circumscribed or prohibited by the creeds or superstitious notions of men, or by the dominations of one another"-Joseph Smith