Yes. It always matters whether a person is honest and trustworthy. How is this even a question?
However, that said, even a mostly honest and trustworthy person can have lapses in judgment, or make the wrong call thereby seeming untrustworthy. That's just part of humanity's natural condition.
Also, this question should not be assigned to a single politician if you ask me. Doing so presupposes that one politician's trustworthiness is more important than another's. We, the electorate, will want all of our candidates to demonstrate qualities of honesty and trustworthiness. In this way, the answer is really a resounding, "No!" It doesn't matter if Hillary Clinton is individually honest and trustworthy any more than it matters for any politician in the field.