If I had an eviction court date but I had an emergency hospital visit what should I expect next?

Expect an eviction notice from the Sheriff.

If you do not show up for a court date and made no effort to try to reschedule it, the court will treat it as your just deciding not to appear. A default judgment would be granted and the landlord would go ahead to have you served by the sheriff and evicted. The time period varies with the county. You could call the landlord's attorney and try to work out some type of compromise, but if you did not bother to tell them you could not appear in court why should they believe anything you will tell them?