Here goes for another take; short on tact but honest and no punches pulled for the benefit of a comfy OP. At the very least you do not want unhelpful comments about how the queen might look at 40 paces.
Your information is short of the facts needed to go forward in the best way.
I am guessing the colony was a cast and the virgin did not mate (properly). Not unusual, this season.
I am guessing the swarm did not draw (all) the comb they are on? The comb in the pics does look fairly new (not darkened) so may all be the product of the colony.
I have little idea of the strength of the colony. I am guessing it is not a 'strong' colony by any means of assessment.
I can see it has some stores
As Susbees, get rid of the queen and replace with a good one unless there is a recent patch of worker brood.
How you do it imay depend very much up to the missing data. It is getting later and raising a new queen in situ is getting more of a lottery as the days pass, especially for a small/weak colony.
The alternatives might be:
Use a test frame
Add a queen cell
Introduce a virgin
Introduce a laying queen
Without knowing enough about the colony I would go for the last option. Certainly not the first!
A laying queen may be available from your local beeks or you might buy one in. A laying queen would result in new brood emerging not so much more than 3 weeks after introduction. (the first option could easily be 7 weeks or even more!).
At this stage of the season, things are getting tighter for effective repulsion of wasp attacks over the coming weeks (new beeks are particulrly at risk in that department, I find).
Don't wait too long before actioning a plan. Time is not on your side.
RAB