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Hi. If you have already handed her the notice, have you not also talked to her about this? I think giving an explanation about why you want to evict her will make the situation a bit lighter. Even if she is mentally unstable, I think she is aware of what she has done and how careless she has been.
Moreover, I don't think you should not make legal actions immediately if she has committed to comply with the 30-day notice. After all, you said she might just do it. Invoking legal measures might just aggravate the situation. She may end up hating you and seeking for revenge for what you have done. Then again, this all boils down into talking things out before actually doing something.