555 and transistors: using a transistor to ground the reset pin of a 555 and how to drive a MOSFET with a 555
The problem with the reset circuit is that you have the reset hard tied to the 9V supply. The Transistor, when it turns in tries to short the 9V to GND.

Remove this connection and place a resistor from 9V to the RESET input. Something like 4.7K to 10K would be appropriate. Now the NPN transistor will be able to operate the reset input.

To make this a complete answer let me also add what others have already said about the MOSFET you are using to drive the nichrome wire. Connect the wire between the 9V supply and the drain of the MOSFET. Then connect the source of the MOSFET to GND. Now you will be able to switch a full 9V across the wire.