I'm working on building my own Delta class shuttle and need a bit of help figuring out how make a small hinge for the wings. I'm very new when it comes to scratch building, so any help would be great!

My suggestion is to purchase plastic-card rod, and tube (that fit one inside the other)

https://evergreenscalemodels.com/collections/14-polystyrene-rod

https://evergreenscalemodels.com/collections/14-polysytrene-tubes

Match the outside diameter of the rod, to the inside diameter of the tube. Get a very good plastic card cutter (like one of these http://www.nwsl.com/nwsl-online-catalog.html ) to make precise cuts then glue the tube to the wing and hull in place like the loops in a door hinge.
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Drill a hole into the plate that will stop the hing pin using a pin vice with a drill bit the same diameter of the rod ( above is __ ). Slide the rod in through the hinge loops and test. create an end cap (Basically the blasters to either side of the cock pit) and drill a hole into the back side of it that will line up with the hinge. put a tiny rop of glue on the pin at the tip and insert it into the end cap (also glue the end cap to the fuselage) and CAREFULLY glue the end cap to the shuttle and to the rod.