If you leave the IG at 6:30, IMO, it would be enough time.
As you leave the International Gateway, you go past the boat dock and up the hill. At the top of the hill you can either go to the right and walk past the BC, the YC and then past the Dolphin & across the walkway to get ot the Swan or you can take a left and walk past the Boardwalk Inn & along the Boardwalk (IMO, since you want to go to the Swan, this is the better way). When you get to JellyRolls, you take a left and then a right, and then another left to get to the Swan. Sounds harder than it is.

You will see the Swan once you get past the boat dock and go up the hill.
Here's a map that will help you visualize the way - you'll start out on the "pink" pathway and then take the "blue" pathway.
Map of EPCOT Resort Area