You are
a Hyperlink!
At first, you might find that I'm very quick and animated
OP: Hyper means quick and animated
Later on, you'll realize I'm just trying to be connected
Link! The name... (Clever!)
If you only saw my latter, you might think green
Link always wears green - looking at him from behind, you'd see mostly green
I'm obsessed with a princess, but not the queen
Princess Zelda
Together though, I can take you to new places
OP: A hyperlink can take you to new places such as websites, documents, etc.
Sometimes you need control, leaving behind no traces
OP: In word and excel, you have to hold the control button and click to activate a hyper link. If you use this method, it leaves behind no traces (no way to track what you clicked)
As for the hint
OP: The answer is a hyperlink :)