You can use he/she, he or she, s/he, or some other kludgy phrase. This offends just about everybody, including most likely the speaker ___self, because it is a kludge. It's polysyllabic and syntactically complex, and it draws attention to its political correctness at the expense of its sense and reference. It's distracting, and it's a poor informational strategy because of that, just as misspelling is a poor informational strategy in writing. What one normally wants in a pronoun is something monosyllabic and unstressed that won't draw any attention. After all, we already know who we're talking about, or we wouldn't be using a pronoun in the first place. This is a lose-lose situation.
Уже есть упоминание политкорректности. Дальше лень искать.
