I had an Aspire One D270 laptop with a 32-bit Intel Atom CPU and 1 gigabyte of RAM, so I installed Debian with Xfce on it, but even then it's running way too slow.
Is there anything I can do to make the laptop faster and more responsive given its limited memory?
either you go the easy route and use a distribution targeted towards low spec systems like damn small linux or you go the difficult route and implement the same measures that they implement onto your debian installation.
last time i was in your situation i ended up doing both and i'm glad i did because my version of the build never worked as well as the custom distro.