It is important to realize that an IQ score isn't exact and also that it is harder to get a definite number when you are toward the upper end of the range. It is less exact the further you get from the mean. I absolutely wouldn't use one IQ score of 126 as proof that you aren't gifted. It is awfully close and the counselor is right that lower scores often depress the overall score.

There is a way of figuring at least a child IQ test that drops parts of the test such as short term memory and processing speed if one or both of these #s are depressing the overall number. I'd say that it is worth considering especially if there are specific accommodations that the university can offer you that might make you a more successful student there.