It quite possibly will. It really depends on the department in question and what their rules/standards are. Why do you think this is something that is complaint-worthy? Professors are notoriously difficult to contact sometimes because they are so busy and you aren’t the only thing on their agenda. Their research groups are also their livelihood, so if you want to work on a project that doesn’t fit into her group’s plans, she would honestly be silly to advise you on that topic. Why do you feel you deserve special treatment here?
It sounds like it just isn’t a good fit. Just move on. Try a different advisor. Don’t be vindictive.
It sounds like you are using the term “advisor” differently than the rest of us so far. In all of the schools I’ve attended or which have employed me, as well as most of my acquaintance’s schools, advisor is synonymous with the thesis advisor. It sounds like you are using it as more of an academic advisor separate from the thesis advisor, whereas OP is using it to refer specifically to the thesis advisor. In fact, none of the departments of which I’ve been a part even use separate academic advisors, interestingly enough.