I don't see it as being 'right' or 'wrong'.

It's about subjective perception both on your and T2's part. T2 is not the expert on you. Then again, from how you present(ed), T2 may have formed an impression of you from what they see of you. It doesn't necessarily mean that either one of you is 'right'.

It does, however, seem that you may not be a good match for one another.