besieger

verb (used with object), be·sieged, be·sieg·ing.

1. to lay siege to.
2. to crowd around; crowd in upon; surround: Vacationers besieged the travel office.
3. to assail or ply, as with requests or demands.

verb (tr)

1. to surround (a fortified area, esp a city) with military forces to bring about its surrender
2. to crowd round; hem in
3. to overwhelm, as with requests or queries