An invitation from God to serve does not mean a career or job. In other words when we speak of vocation in Christianity, we do not mean a career. Vocation is the way God invites you to love and give of yourself to others, the giving of your entire self as a way to gain holiness.
A career may only mean the way you use your skills, services, and expertise. Of course, priests can have careers, but their careers must never be seen as their vocation. Their vocation is their primary invitation from God to love and grow into holiness. Their career will be secondary in that this is the way they use their skills, expertise and talents. Therefore, a priest can also be a doctor, a teacher, a principal, a nurse, a lawyer, among many other career paths.