The odds of any herpes virus being able to survive just lying around on a tube of lipstick is small- herpes isn't designed to live without a host.
Even if you DO somehow get herpes, herpes really isn't that big of a deal except in very rare circumstances. If medicated, you'll only have minor outbreaks, and the actual health effects are almost entirely negligible. Medically speaking, herpes isn't really all that bad. It's not like syphilis or HIV, not by a long shot. The worst part of herpes is, by far, the social stigma that comes with it, and it's undeserved.