Lease non-renewal tenant won't leave

[Travis Frenchak]

I have a tenant who is a month to month tenant. She has not paid rent for two months and has cut off all communication with me so I have mailed her a non renewal notification. 

My question is what are my options to get her out? Since she does not have a current lease agreement would she be trespassing? Or would I still have to evict? 

Thanks!