For this quest i follow the orders given, and make it to the front gate of Nellis AB, but the artillery shells continue to go off, so after I talk to the person with the rocket launcher, i don't have time to talk to the woman at the front gate, because, well, I'm dead, on other characters this hasn't happened to me, is there anyway around it, other than buying all of the stimpacks in the game? p.s I'm not on PC, so no console commands

The only thing I can think of is go back to a save right before you attract the missiles and try again, and if this continues to be a glitch, buy some med-x and a bunch of stimpaks and hope it goes alright.

Thanks for the reply, ok i didn't think about med-x, Is that damage resistance? and I only need to survive long enough for the woman to talk to me, and then I get teleported to the boomers leader anyway, also I can't even take the train tunnel to the south, honestly the artillery shells kill me when I go that way as well...

I used to follow the track until I realised it is so much easier to sprint naked to the gate, approach toward the gate (not the fence but the actual way in and out) it should stop when you get over the a certain point.
Try reloading your game from a previous save.