I don't hate my 'neediness' which I know simply as 'needs'.

The good thing where I am is that therapists are required to undertake career-long monthly supervision. This means that anything which has the potential to get in the way of the therapeutic relationship can be examined and managed.
No human being has no 'issues' which might have the potential to get in the way of the therapeutic relationship. I can think of examples in my own therapy where my therapist has had to keep his own stuff in check, but he's still undoubtedly an excellent therapist.
Self-awareness and non-defensiveness in the therapist are key.