Local results are decided by proximity, relevance and prominence. Proximity is fixed, because you cannot move your clinic closer to the person searching, so the winnable ground is relevance and prominence. That means the website and the Google Business Profile have to agree with each other about what you do and where you do it, and both have to be specific enough for Google to place you.
It also means the goal is narrower than it looks. A local business does not need to rank everywhere; it needs to rank in the places it can realistically serve, for the handful of searches that turn into bookings. Chasing county-wide visibility usually produces impressive impression counts and very few extra enquiries.