WordWeb Online

1. Encircle as a military tactic
   "The Turks besieged Vienna";
   - beleaguer, surround, hem in, circumvent, siege
    
2. Cause to feel distressed or worried
   "She was besieged by so many problems that she got discouraged"
    
3. Harass, as with questions or requests
   "The press photographers besieged the movie star"

Derived forms: besieges, besieged, besieging

Type of: assail, attack, distress, importune, insist

Encyclopedia: Besiege