In article f34e661bb3ae40bd1faf743217291bd8@TeraNews, GamePlayer No.
1058 wrote:

Thanks, I better get cutting today then.
Should I dig down around the root (this rose has been in the garden for 9
to 10 years now) to get to the beginning of the sucker, and just cut if off
at that point, or must I twist and pull to pull it out where it joins the
root stock?

Tearing off the sucker is more likely (but not 100% certain) to damage
the bud which is producing the sucker. Therefore tear, don't cut,
suckers.