It is safe to reinstall you probably had a misload

In addition load the Messenger Service stopper
and the VX2 files detector/remover from the "add-on" section if you can locate this?
Going off topic slightly have you got any thing like
SpywareBlaster? This will cutdown the workload on Ad-aware by refusing entry to all sorts of nasties

,And a virus protection program like
Avast! to keep the obvious away

These programs are Free
If you are running Broadband then a Firewall is a "Must" There are some free like
Kerio Run without a firewall hit the wrong site and you'll have a blizzard of spyware and other nasties to clear up and Ad-aware nor Spywareblaster may not stop it?

But on dial-up you'll only get 1 or 2 hits from the same address

Tell us if the Trojan returns There are 2 programs that may be able to deal with this and
you needn't delete Ad-aware