What a campus counseling center is built for, and what it is not
University counseling centers do something genuinely difficult very well: they absorb an enormous volume of students, triage crises fast, and provide short-term counseling to enrolled students. That model is deliberate. It is also why the same center will tell you there is a session limit, why the therapist you liked in October may not be available in February, and why medication management beyond a certain point tends to be referred out.
None of that is a criticism. It is a description of scope. The mismatch shows up when a student's problem is not short-term - a mood disorder that will need monitoring for years, an ADHD picture that needs a real evaluation, or a medication that needs adjusting every few weeks until it is right. Those need an outpatient practice, and the earlier that transition happens, the less of it is done in a crisis.
The Alachua County access picture
Gainesville looks well served on paper because UF Health is here. In practice, adult outpatient psychiatry that takes insurance and has openings is limited, and demand comes from far beyond the city - Alachua, Marion, Levy, Bradford, and Union counties all route toward Gainesville for specialty care, and the surrounding rural counties have substantially less capacity than the city does. Add roughly sixty thousand students to that catchment and the queue is predictable.