2AROUND/ROUNDif you are besieged by people, you have a lot of them around you 〔人、烦恼、想法等〕包围;缠扰
Miller was besieged by press photographers.
米勒被摄影记者团团围住。
nGrammar
Besiege is usually passive in this meaning.
3.be besieged with letters/demands/requests etcLOT/LARGE NUMBER OR AMOUNTto receive a very large number of letters, requests etc 被大量的信件/要求/请求等所困扰SYN be inundated