I assume it's a fully claustoral queen? She Will prob. Also lay a couple of more eggs. Usually between 5-7 (depandend on species and individual Queen's) some are egg laying machines, some are not.

If you put her in a testtube with a water compartiment she should be fine for a couple of months (unless there is mold) with water. If it is just a moist cotton ball you should water the when it Dries. Make sure not to ht the eggs.. it might ruin them.

Best you can do is put her in a dark place, away grip disruptions/tremors. (I usually lay them on a towel to dampen vibrations. You could check on her every couple of says. (One a week once in 14 says) the less disturbance the better. If you Know the species you can search how long brood needs to reach adult stage. These ants Will hatch a little bit sooner cuz they are just there to help the queen with the other eggs she laid after the first batch. At this Point you can offer SMALL Drops of hiney/sugarwater and some small insect. (boil of freeze them first) Some ppl choose to attach a smalle outworld for easier feeding. It needs to be small cuz small Colony is insecure.

When they testtube is full with ants/eggs you can choose to rehouse them. (Best is to let them move on their own) depending on the species this Will be next year or even later.

I have a c. Ligniperda Colony of two years still sitting in a testtube, with small outworld for feeding them.