It's always up to you, but personally I would not bring her home. Just treat her while you are at work if you need to.
There are several contagious respiratory diseases that can cause pus in the eye, so unless there is testing, you have no way of knowing for sure what she has. You mention the cockerel with her is coughing and gurgling...that is not good, imho.
Dust can aggravate symptoms, making the air quality better is always helpful. Not sure how you would do that in a barn where there is dusty hay/feed, etc.
Please keep in mind that respiratory illnesses can be transmitted in dust/dander, through feathers/bodily fluids, on clothes/shoes, etc. I do recommend that you at least change clothes and shoes and wash hands when you get home before you see and tend to your own chickens. Better yet, shower (and put on clean clothes/shoes).
Keep us posted.