It's the morning, and I have a task in my "Today" list which I can only do after 5pm. However, nothing shows me that it's not ready to start yet – it shows up in my Today list just like normal.

I think that a task with a start time later than the current time should either be greyed out to show I can't do it yet, or put in the "Scheduled" section, not shown as an active item in "Today".