Good idea, Ann.
This is what I get on a 10.04 install
According to that, if you remove Nautilus it will break your desktop, unless you aren't using the standard Ubuntu desktop.
mick@mick-laptop:~$ sudo apt-get remove -s nautilus
Reading package lists... Done
Building dependency tree
Reading state information... Done
The following packages will be REMOVED:
gnome-session nautilus nautilus-share ubuntu-desktop
0 upgraded, 0 newly installed, 4 to remove and 0 not upgraded.
Remv ubuntu-desktop [1.197]
Remv gnome-session [2.30.0-0ubuntu1]
Remv nautilus-share [0.7.2-12build1]
Remv nautilus [1:2.30.1-0ubuntu1.2]