Should I be worried? Got a liscensed plumber through a reputable company to install drain and water for a new sink. He notched out 3 studs fairly deep to fit the drain pipe. I was told this wouldn't be a problem by the plumber. Photos for reference. To play it safer I picked up stud shoes but unfortunately they do not fit.
https://imgur.com/a/7pl8x3a
https://imgur.com/a/7pl8x3a