In Spain, psicologo is a regulated professional title: anyone in practice is registered with a Colegio Oficial de Psicologos, in this region the Valencian one. A psiquiatra is a medical doctor and is the professional who can prescribe. Coaching sits outside that regulated category, which is worth knowing when you are comparing profiles side by side.
The public route starts at your centro de salud with a referral into regional mental health services. It is low cost, but waiting times are long, sessions are widely spaced and care is delivered in Spanish. Most international residents use private practice instead, and many practices work by video, so your therapist need not be in your barrio. In-person consulting rooms cluster in the Eixample, Pla del Real and Ciutat Vella, close to the transport lines rather than the beach.
When you make contact, ask for the colegiado number, the session length, the cancellation window and the language of the session. A private practice does not require a Spanish health card, which matters if you have only just arrived. Nothing on this page replaces a professional assessment, and in an emergency the number to call in Spain is 112.