Shouldn't matter. I know enough about Java to know that there's an abstraction layer between Limewire and any dependency on what the graphics card manufacturer is, and enough about Windows to know that on NT/2K/XP, there are
two abstraction layers between Limewire and the gfx card.
Anyway, I'd expect the gfx card to possibly be a problem for 3d games and not much else. Certainly not a traditional gui app whose only graphics are command buttons and text labels, one that doesn't do anything at all fancy with graphics. And even if the card gave a game problems, I'd expect having up to date drivers to fix them. And I do have up to date drivers, the better to play Quake 3 with.