LOL... I just keep thinking about this.... lol... Hope you take this with the humor intended (I've done this atty removal thing too):
Most mods don't need the rim around the 510 connector. They just have a hole with epoxy. So to comment further:
<Read in the tone of an infomercial>
Like frustration? Enjoy long hours of ripping apart old batteries just for one stupid non-standard connector? Fascinated with small little silicone washers as electrical insulators? Enjoy learning new cuss words?
PLAY THE ATTY CONNECTOR REMOVAL GAME! Yes, you too can have as much fun as all (my fellow) modders on e-cigarette-forum.
And the real kicker ---- MOST of them never needed to remove the connector to begin with!!!!! LOOOOL.
Enjoy endless hours of frustration...... blah, blah, blah.
<End of infomercial>
Just cut the battery between the switch and the connector with a pipe cutter and solder wires to it.
(see post above)
Or, if you need the rim, buy a new connector (see Rothman's post).