T/ puts the cursor after the last / character, so:
Up Esc c Shift+FT / w00t.txt lEnter
or, to replace the just first word in the file name:
Up CEsc Shift+T / c w w00t.txt Enter
or, if there are multiple words before the extension and you want to keep the extension:
Up Esc Shift+T / c t . w00t Enter
Alternatively, with history expansion:
!!:h/w00t.txt