You have the right to evict her legally.
Once you give her the 3 day notice, you have to actually wait the 3 days. If rent is not paid, then you hire a landlord/tenant attorney to file an unlawful detainer. Why an attorney? Because you want it done right and you don't really seem like you're all that familiar with landlord tenant law.
After the UD is filed, the defendant must be served. After service, she has 5 days to respond. If she responds, then you file the necessary paperwork to request a trial. If she doesn't respond, then you file the necessary paperwork to request a clerk's judgment and writ of possession.

