Ill Recommender Gave Me Letter To Submit
This is always a very tough situation. Ideally if you had known of her sickness ahead of time, you could have asked her to use a dossier service (such as interfolio.com;  note that I have no connection with this service except being a user). She could send them a single letter and they would send this to other schools on your request. This way the contents of her letter would remain confidential from you. 

It would have also been great if the letter contained language such as "I apologize for not sending a personalized letter but my current health conditions preclude me from doing so, please do not take this as any indication of my high regard for this candidate."

But this would have been an ideal situation. If she's still healthy and you have good relations, you can ask her if you can set up something with a dossier service (your university might have one itself) with a letter with an apology for generic language. 

Otherwise, you could add a similar note to your list of references: 

References


Prof. John Doe
Prof. Alice Smith
Prof. Jane Roe

Prof Jane Roe apologies that due to medical issues she is unable to send personalized letters. A signed generic letter will be sent with her sincerest apologies to the search committee. Verification of the contents of the letter may be made by contacting the department chair, Prof. Bob Ajar, at xxxxx@xxxx.edu






[Aside: I have used letters with similar language when I have been engaged in field research and unable to write personalized letters for my students. So it's not just for sickness but for other conditions where letter writing is difficult.]