No. 1 - Calm down, don't panic
Every thing is going spot on!
You can expect a little sediment to come off when you first open the tap with almost every type of fermenter, do as you have, pour some off & chuck it.
Some of us "Rack" our beers to help get around this, by Racking I mean transfering the beer to another sanitized fermenter, some times through a filter.
Racking is not nescessary, perfectly clean beers can be made without having to rack.
Even if you bottle straight from your fermenter without getting rid of the first bit of sediment, I bet you will never pick which bottle was the first when you go to drink them.
Cheers, Mick.