Long enough that it’d be hard to rule diet as your cause of death. Your biggest consequences would be low energy and a weakened immune system. Not a great place to be, but you’re not gonna be so weak that you fall over to a stiff wind. It would take an untreated illness like the flu or pneumonia to actually kill you.
I really like eggs, but I walk to my grocery store and back, and often bump the fuck outta whatever I buy. After the first accident, I’ve not bought eggs in a real long while.