Good to hear it is a whitish-clear and slightly swollen ... she is probably in season. Check her again and this time look for a tiny dot of what looks like blood right in the opening. If it is there ... she is in season. You will see below photos of a chin in season and not in season. If you notice the one where she is in season the fur looks almost matted, it's not, it's only the moisture from the discharge.
BUT ... being in season now does not mean she may or may not be pregnant, also. Female chinchillas have two uterus and can be pregnant in one side and will still go into season and be able to get pregnant in the other side. This is rare, but does happen on occasions ... it's called superfoetation. Below is a picture of two kits that were delivered here under those circumstances. Brother and sister, ebony and tan. Both lived, which is even more rare.
It only takes about 15 to 30 seconds for chinchillas to successfully mate. Keep an eye on her ... especially around 111 days from the day you had the male chinchilla with her. It is doubtful that she is pregnant ... but not impossible.
ALSO ... The females also have two sets of mammary glands - the teats on the right side and the teats on the left side are two different "systems". If one side is damaged to the point it no longer works, the kits can get milk from the other set.
If the discharge was yellow, orange or bloody, it would be a visit to the vet a.s.a.p. because it could be a number of things from infection to a miscarriage.
Hope this helps!
Jo Ann