Send a Lease Violation Notice immediately - by mail with proof of delivery required (cheap date through post office) and or affix the notice in a envelope with his name on it on the door of the unit. 

Many banks securitize their loans (bundle them together) and sell the loans to Fannie Mae or Freddie Mac, while continuing to service the loans, that is collect your payment.

I would recommend considering conventional financing until you reach Fannie Mae's limit of 10 properties, then consider either a portfolio loan, and start your race to 10 again, or look at DSCR at that time. 

Alternatively, put it on the market and give the tenants notice keeping in mind that showing times will have to be done with 24 hours' notice to the tenants.

You can refinance into a FHA 203k or like @Jason Wray mentioned you could even use a Fannie May homestyle renovation loan as well!  

Give her 30 days notice now, keep her security deposit, and send her a additional bill for damages to the unit in lieu of taking her to court for the damages.  

You may not need "2 years of work history" either depending on the detailsGenerally speaking there are 2 main types of loans for investors: “Conventional” and “Portfolio”Conventional - I'll define these as loans that come from Fannie Mae and Freddie Mac (if you recognize those names).

@Tom OchiengI would reach out to a real estate attorney for specific advice on this situation since you already have one tenant who is being difficult.On a side note, when I have inherited tenants, I have been most successful when I have provided longer non-renewal notices, like 60-90 days, and offered to assist with moving costs.

You will not be able to get a Conventional (Fannie/Freddie) loan with the LLC holding title.

The notice should include the date of termination and the reason for ending the agreement.