#1 besiege v. [beleaguer, surround, hem in, circumvent] surround so as to force to give up; "The Turks besieged Vienna". wn
#2 besiege v. cause to feel distressed or worried; "She was besieged by so many problems that she got discouraged". wn
#3 besiege v. harass, as with questions or requests; "The press photographers besieged the movie star". wn
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