Operating System: Windows XP Professional
Processor: AMD Athlon™ II X2 250 Processor, MMX, 3DNow (2 CPUs), ~3.0GHz
Memory: 3072MB RAM
Card name: AMD Radeon HD 7700 Series
Chip type: AMD Radeon Graphics Processor (0x683D)
You have extremely low memory. And your CPU is old. I am quite certain that new compiled code may not be backward compatible to MMX instruction set that was introduced back in 1997.
My suggestion will be to use your current machine for music and other archival work, if you do those things. And get a new PC with at least 8GB RAM and a decent CPU. GPU is not that important but, CPU is quite important as far as GW2 is concerned.
Hope that helps.