[{name:"Josh",choredays:[2,5,16,20,28]},{name:"Will",choredays:[5,15,18,21,22]}]

db.collection.aggregate([{$addFields:{items:{$filter:{input:"$choredays",as:"chore",cond:{$gte:["$$chore",14]}}}}},{$addFields:{items:{$slice:["$items",0,1]}}},{$unwind:"$items"},{$project:{items:1,name:1}}])