LT Spice and inductors parallel to AC voltage sources?
As The Photon points out, in anything realistic, there is a resistance (unless you are from the future and build everything with superconductors). 

You try to put an ideal voltage source (btw. the ltspice setting is amplitude, and you probably want 120V rms) in parallel with an ideal inductor, both without any kind of resistance. What would probably be the current hat flows (and in turn, the voltage that comes out on the secondary)?

So infinite current is likely not wanted, thus any kind of resistance at that point is not at all useless. But maybe you were referring to a resistor component as being useless? Just right click the inductor (or better both of them) and set their series resistance value to something realistic (which depends on what kind of transformer you have in mind).