She’s either telling you she wants to leave or not, there isn’t really a middle ground. Say you list it and show it, then get an offer; is she going to leave right away and somehow find a place without a job?
Have her continue to make the rent payments she is obligated to, non-payment is grounds for eviction even if you lose your job. If she decides to give you notice she is leaving, then you list it and give appropriate notice when you have showings.
You could also drop the rent if you think you can’t find another renter. But I wouldn’t personally, because a few months down the road, they’ll be on the phone asking for another reduction because the reduced amount is too high.
See Crank. See Crank Walk. Walk Crank Walk.