She threatened me that she won't leave for another 2 months and she told me that she doesn't care about having an eviction!

I don't want this underworld demon to continue living in my property and think she owns the house, I want to make her life miserable.

This is my question:

Is internet considerate utility?

She just sent me $50 for the internet payment only,

If I accept it I am waiving my rights in the eviction process but

If reject the payment I am complying with the law.

If I reject it the internet service will be cut by Monday, I don't want to be blamed by the court for disconnecting internet, I believe internet is not considered a basic utility as water or electricity

What should I do?

You're not going to like this and I don't like it for you either but here it is:

"Many states and cities have put a hold on any utility shutoffs—water, electricity, gas, internet, and more—during the state of emergency caused by the outbreak of COVID-19." (Source: 
https://www.lawyers.com/legal-info/real-estate/landlord-tenant-law/can-my-landlord-shut-off-my-utilities.html)

It's all over the internet and on every tenant help site.  I wouldn't cut off service.  Wait her out, keep it legal, and then assign this to a collection agency - report it as an eviction - the whole enchilada.  You're almost done with her...and then her turn starts.

Keep the faith.

@Vanina Lopez

Well, the problem of just cutting off her internet is; she is living in your place and can destroy it. You’re a little bit stuck right now. Make sure you follow through on eviction. Start now with notices, and then court proceedings as soon as available to you.