I am a newbie too, but perhaps I can help just a little ...
When I did up my dualboot, I looked at my drives and decided to hack up my Primary Slave (60GB) into a 50GB-NTFS/10GB-Ex2. I didn't put in a Swap, which I will be doing but lets not go there just yet (laugh).
So, if I was in your position, I would free up some more space on the partition that is beside your Linux partition. Then I would run Partition Magic to boost the size of your Linux partition. It is my understanding the Partition Magic (at least the newer incarnations) are fully capable of adjusting Linux, NTFS, Fat32 and so forth without damaging the data on any of the partitions.
In short, I dont think you have to worry yourself too much. And yes, I would uninstall Unreal Tournament, because someone told me that it comes packaged with a Linux-compatable installation package. And we all know that Linux is better anyway ... so

. Am I to understand the Linux partition is *YOUR* piece of the drive? Hee hee, whatever it takes to get you a bigger piece of the pie man
Good luck!