When someone is not given or offered something, it can be described as "unoffered". However, there are various other synonyms to express this idea, including "withheld", "untendered", "omitted", "neglected", and "undeclared". Each of these words has a slightly different connotation, but all ultimately convey the idea of something being not given or made available. For example, "withheld" could indicate a purposeful decision to keep something back, while "undeclared" might suggest that the opportunity to offer something was simply missed or forgotten. Whatever the situation may be, there are plenty of ways to describe the absence of an offer.