I already send you a PM Thomie but i answer it here to, could be useful for other members.
The queen is probably in hibernation so it is normal for her to be not active,
it also normal that there are no eggs, eggs don't survive hibernation, the queens stops laying eggs before she goes in hibernation.
It would be nice if there was some brood. (Larva ore cocoons)
Maybe it is best to wake her up. So she can start with laying eggs en build a colony.
I must say it is rather hard with this species to start with only a single queen. Good luck.
You could give here some food, it is a small chance she will take sugar water but you can try it. Also give here fruit fly's. If she don't accept them you can stop giving it but it is worth a try.
Give here plenty of rest, don't check on her to often, she needs rest. Check on her 2 ore 3 times a week. Just to see if she is doing okay.
Good luck.