There is no fuse link on that wire - there is a fuse on the other side of the bulb in the Tach and that is probably the "ignition" fuse. I doubt that the bulb wire got damaged because, in a way, the bulb blowing acted like a fuse and protected the rest of the circuit. You could always test the wire end-to-end with an ohm-meter to be sure, if you're worried, but it should be OK.
OK, so the alternator bulb is wired a bit differently than you would expect.
There is a wire that goes from the fuse panel "Ignition" fuse right to one side of the bulb so it is energized when the key is "on" and lights up. The bulb base is insulated from ground and from the gauge. It gets its "ground" from that D+ wire (the small one) on top of the alternator. When the alternator is not spinning (engine stopped and key is "on"), the D+ acts like a ground to the bulb and the bulb lights up. OK so far....
As the alternator begins to spin and the electromagnetic process starts to charge, it looks to the D+ wire for a signal of what the battery voltage is, if you will, to start charging. Once it spins above a few hundred engine rpms, it starts generating a higher voltage than the battery resting voltage and sends some of that higher voltage (at a very low current) out of the D+ terminal to the dash bulb. The bulb no longer sees "ground" on that side.
So the D+ has gone from being "ground" to making 12 volts or higher. Sounds like magic, I know, but lots of physics seems like magic, especially electro-magnetism (and don't get me started on Quantum physics - That $#!+ is spooky). So now you have +12 volts on both sides of the bulb, they both cancel out and the bulb does not light. Pretty cool, huh?
Long winded explanation, but you could check your fuses for a blown one and replace it if necessary. If the engine starts, then chances are the fuses are OK. Same thing with the bulb - Check it and replace it with a new one. Remember, the alternator will not charge if the bulb is burned out or missing.
And what might be the first name of Mr. Superuber??