The likelihood is that EI would do nothing, except perhaps parade his 'girlself' in an aggressive manner, as he did with the teenagers in the Ladies. That's absolutely not the point, though.
When women are vulnerable (and it's hard to think of a time when we are more so than in a hospital bed - undressed, ill, scared, maybe wounded or with a drip attached) we need to feel safe. Having a strange* man in the next bed is not likely to encourage feelings of safety. Also, whereas EI might pose no actual threat, there are many men who would, and as we keep saying, when one is allowed in, they all are, and we have no safe spaces.
*strange as in 'unknown'