I don't really see the importance of forcing her to serve in the morque, if anything that should be considered a easy way for her to serve. The morgue would be a place where only families of deceased would be coming, its probably well guarded and very clean like a hospital. She will not be hounded by the media inside the place. The bathrooms she will clean are probably like something you would find in a hospital, mostly employees, which is a lot better than making her clean bathrooms in some of the parks. I can think of far worse bathrooms to be forced to clean, like places you would not walk into or think about sitting in.
All she will be doing is janitorial, trash, cleaning, and working in the bathrooms. She is not going to be in the autopsy rooms at all. Its not like they are forcing her to stand and work near blood, or see an autopsy preformed. The dead will come in the facility in body bags, so its doubtful she will view anything gruesome. Doubtful she will come in any contact by sight or smell, of decomposing bodies , dismemberments, etc. She is not going to be harrassed into looking at stuff until she pukes. You see worse on CSI if they keep her out of the autopsy room.
You can not even go into those rooms without considerable training, both from not knowing you could unintentionally affect crime evidence, plus it would be negligent to have untrained people not trained in transfer of blood or fluids that could cause great harm or disease.
Bottom line is she should count her blessings she is afforded a safe place inside, that will have a hopital enviorment as far as her cleaning duties. If I was her, I would just camp out there, for the rest of my hours required, and do it nonestop. If they let her work 12 hour days, she will finish in 10 days.