"Te" is the object pronoun form of the word "you," or "tú" in Spanish. It can be used both as an indirect object pronoun and a direct object pronoun. "Té" is simply the drink "tea."
when someone counts like "one te two te three te four te" in music, that means the are subdividing. That means instead of counting the four beats in one measure they include the "and". So it is like...