Presumably you're talking about an inductive guitar pick-up?
A guitar amplifier needs no voltage gain, as the output level is quite high. Indeed, some voltage attenuation may be necessary.
What is required is an amplifier with a high input impedance >1M and a fairly low output impedance, perhaps even a unity gain buffer.
What impedance are the headphones?
Here's a design I've just done in LTSpice. It has a gain of under 1. No doubt it will need tweaking if build in real life. It uses bootstrapping to keep the input impedance high. The input impedance is over 1M for frequencies under 6kHz and over 300k up to 20kHz.
No doubt a simpler design can be made with a J-FET pre-amp or just a pair of MOSFETs.