From Longman Dictionary of Contemporary Englishdraw/get the short strawdraw/get the short strawJOB/TASKto be given something difficult or unpleasant to do, especially when other people have been given something better Giles drew the short straw, and has to give us a talk this morning. → short
Examples from the Corpus
draw/get the short straw• Rose had drawn the short straw, and was thus forced to seek Lord Westbourne clasping the Romanov dagger. 