Sounds like he might be a bit showy! You’ll want to look at weapons
that exemplify that show-offy nature, something that can be used for
performance as well as battle. Narcissism as a trait brings mirrors or
other reflective surfaces to mind, so that makes for one option (a
mirror is Okami’s main weapon, for example). Outgoing means that their
weapon is either built to withstand being outside for long periods, or
perhaps is even made of or complimented by natural materials! The
all-natural route can also doubly compliment the feminine personality.
Its uniqueness, however, is up to you.
As for gems, you want to
look for ones that focus on the self: self-healing, self-exploration,
promotion of self-growth, etc. A lot of gems of that range also tend to
work with past life recall, so perhaps that can also play into their