Again, I checked the IP address she posted from, and there is no ban on it. Given the nature of her previous posts, asking for help with the chat, my guess is that it is a technical problem rather than a case of her being banned.
FYI, Superboyian, claiming "Moderator abuse" without providing details will get you no sympathy. Everyone we've ever banned claims "abuse", even the most blatant rulebreaker or spammer. The chat operators have to deal with lots of situations that are significantly uglier than the forum usually sees, including stalking and occasionally threats of physical violence. And every one of them has claimed we banned them unfairly. Keeping the chat a safe and pleasant place for discussion is not easy, and the ops invariably are hated for what they do.
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Heart of the guardian, way of the warden, path of the exile.