[Hozer 88GTConv]

1. Fuel delivery check:
Do you hear the fuel pump prime when you key the ignition?
Do you smell fuel, or is there good pressure indicated on you FPR gauge?

2. Ignition system check
Coil
TFI/Distro
Plugs/Wires

With the hesitation you are describing it sounds like something was on its last leg, and crapped out on you finally.

From the limited info you provided I would guess fuel pump or TFI module. But that is just a guess based on what you have written.

Perhaps you could provide a little more info and maintenance history.