Well as someone with a little of knowledge, I can tell you that schizophrenia does develop, or well starts showing symptoms, in the early 20s, sometimes late adolescent. Depending on how old you are, you or those close would have most likely would already noticed some symptoms. There is a familial component to the disease but it's not extremely high compared to normal population. Also seeing as it's an uncle that degree of separation is going to be an even smaller chance. It's more likely to come from direct relatives like parents.

Hopefully that makes you feel a little better. Schizophrenia is really not as common as news and media makes it seem and it's on a spectrum. But I'm not specifically trained on this particular disorder so if you're ever feeling extreme anxiety I would go talk to someone that focuses on it in their field.