Edited in my LED module current requirements, fixed needed resistance and added a schematic to better illustrate what I'm trying to do. Thanks Tom and asmydolf.
Okay, it might seem like a dumb thing to do, but I'd like to light up a LED at the end of a conductive wire, which in turn I would like to heat up. The conductive wire is Nitinol, which is used to move the LED to a new position, hence the reason for driving them together. The LED is right now a module, rated 12V and 0.36W, so it should require 0.03A, and the Nitinol wire is 0.1mm Dia., and 30cm long. I made some calculations, and to heat to Nitinol wire in 5 seconds I need 0.35A, 36 Ohm, which will create 4.4W - meaning a reasonably priced resistor can be found for that. I thought of running both the Nitinol wire and the LED in parallel, as I hope my sketch will show. Alas, just running the LED module at the end means no heating, and when I place a potentiometer across the LED terminals to divide the current I either short out the LED while heating the Nitinol wire, short out the wire while driving the LED, or getting the potentiometer burning while trying to do both...
Anyway, any and all help on the matter will be greatly appreciated, I'm trying to help my wife's project off the ground in between my exams, and I was never really good with electricity.