I’d think that any sort of skilled tradesmen or people with manufacturing experience would have a pretty-much-automatic deferral. There simply aren’t enough of these people left in our modern economy to allow the ones we have to be thrown into a meat grinder in some oversees hellhole.
As other have alluded to, it’s the people with low-level McJobs who would be screwed.
Another factor is, in this day & age, it would be difficult to justify a male-only draft. I’d say it would be more likely than not that women would be elligible for the draft.