Unlike the Japanese interned in camps during WW2 Mary was causing harm whether she accepted that or not so both the Anarchists and the Libertarians would likely agree that she must be quarantined or rendered harmless in some way.
The OP argument seems to be suggesting that her right to work and freedom must be held higher than everyone else's right not to be killed in order to satisfy the NAP? Further it sugests that spontaneous order fails because the outcome of either idiom is the forced incarceration or ostracism of the dangerous individual simply because they don't know or don't care if they're dangerous.
What does federally mandated force do other than allow one group to overpower another or make you comfortable since you don't need to take responsibility for any of their decisions?
As an aside why is "anarchists" in the title in quotation marks?