Thanks everyone for the response.
It just seems that by offering to pay I would be voiding the Indemnification clause of my lease agreement. Once responsibility is taken and I pay for the medical bills it could possibly lead to a whole lot more problems. Future infection, Nerve problems, etc etc.
She never asked if I would pay for the bill. She asked if my insurance would and they won't. By volunteering to pay it just seems like I would be opening myself up to a future filled with additional claims.
At this time I have told her that my insurance wouldn't cover the cost. She seemed fine with that.
Here is the Indemnification clause from my lease agreement. I transcribed it from zip form so there might be some errors.
INDEMNIFICATION: Lessee hereby covenants and agrees to save, indemnify and hold Lessor and its insurers, agents, and employees harmless in the event of any accident, occurrence, injury or loss to lessee, lessee's family, co-occupants, employees, invitees or guests, and to also defend, save, indemnify and hold lessor and its insurers, agents and employees harmless in the event of loss to such persons or anyone due to burglary, theft, robbery, fire, wind, rain, or other causes whatsoever. It is understood and agreed that lessor and his insurers, agents and employees, shall not be liable to Lessee, Lessee’s family, co-occupants, friends, guests, invitees or any person for injury, damage or loss of any nature which may occur at any time on account of any defect in the leased premises, the improvements therein and the appurtenances thereto, whether such exists at this time or arises subsequently hereto an whether such defect was known or unknown at the time; that Lessor, his insurers, agents, or employees, shall not be liable for any injuries or damages to person or property sustained by Lessee, Lessee's family, co-occupants, guests, friends, servants or any other person upon the premises or any damage to any person upon the premises or for any damage to any person or property by or from any boiler, plumbing, gas, water, steam or other pipes, sewage or any gas or electrical fixture or appliance or the bursting or leaking thereof.