If HUD finds out that is not the case, they may accelerate the loan, which means it will become due in its entirety.

This technically will trigger a due on sale clause in the mortgage agreement ( if the mortgage has one ) however most lenders probably will not enforce any loan accelerations. 

.* Hint: most of them involve effectively LEVERAGING your money to accelerate equity/profit!

Grounds for Acceleration of Debt(a) Due and Payable.

You also get to take accelerated depreciation from the dst property.

I just had an image of Wile E Coyote sitting on a rocket with wheels that had "Acme Deed of Trust" written on it, activate the rocket, and accelerate directly into a stone wall while the Road Runner looked on. 

If the lender did not invoke the due on sale clause and accelerate the mortgage, you would need to be ready to finance on your own when the existing mortgage term was up (typically <5-yrs).

Check to see if making an early payment starts the interest accruing early, or starts the payments to be due early - like if you start making payments, your payment schedule is accelerated...

This allows air inside the pipes and accelerates rusting.   

The trick here is to keep accelerating the eviction (the timetable will accelerate naturally if she's paid bi-weekly anyway) but you want her to see she keeps getting these pay or quits earlier on in the month.