Facing larger c-bets, you should be prepared to fold hands as strong as bottom pair no draw when the flop structure is somewhat coordinated. Since ranges are very wide, you’ll generally be able to continue profitably against small c-bets with hands as weak as undercards to the board with gutshot straight draws. Postflop, you’ll want to keep in mind that due to the shallow stacks you can simply check-call with many of your strong hands, since standard betting on all streets will allow you to be all-in by the river.
However, certain hands like most pocket pairs and a variety of hands containing an Ace will not be in your range, since you would reshove with those hands preflop. Your range to defend the big blind against a min-raise will be quite wide at this stack depth.
In many tournaments, especially in the mid to late stages, this spot will be one of the most commonly played in all of poker. Today you’ll be playing in a multi-table tournament where you must defend your big blind with less than 20BBs in the effective stack.