Are you and how are you managing E2 levels?
The prostate is responsive to T levels. With low T, the prostate is smaller and less vital. With youthful T levels, the prostate can release more PSA.
PSA is released during orgasms, so you should not do labs soon after. A digital rectal prostate exam also releases PSA, so doing that and PSA labwork after during a office visit is wrong.
PSA can increase from inflammation. If is important to be having orgasms that clear seminal fluid. With TRT that is rarely a concern.
A step increase is not unexpected and you need to see where things go from there.
Prostatitis can increase PSA. That is a non cancerous issue and different from general BPH.
Those are my general comments without knowing anything about you or your PSA lab results.