After reading a post about a RealTek 8169 driver
here, I decided to look for a rtl8187 kernel module.
Low and behold, there is one! I found it as a USB adapter. To view your kernel configuration, you need to go to the source. (/usr/src/<your current kernel>). Enter this command, as root.
Then, navigate to the section:
Device Drivers-->Network device support-->Wireless LAN-->Realtek 8187 USB support
There should be <M> preceding it. If not, you can change this, but then you would need to re-compile the kernel. If it is already compiled as a module, it should already be loading when your card is detected by the system. If it is not loading automatically, you can do it manually, as root
If it still doesn't work, maybe this is not the correct driver for your wireless.