Will I still get charged a late fee?

I've been paying my bill little by little, but it's late. I will be able to pay the rest of it this week, but I'm afraid I might get a huge late fee.

I've never been late on any bill before, but I've been helping out my parents (dad's sick and can no longer work) and I've come up a bit short. If I've been paying on it, will they still suspend my account or charge a late fee?