The origins of the RCC date back to the universal(Catholic) church of Constantine in 325AD.The RCC didn't exist as you think prior to say 800AD. The term Trinity was coined in 170AD and was codified into canon law in the 4th century. You are literally centuries off kilter. The Greek Orthodox has a far, far better claim to antiquity than Rome does. And, their view of the Trinity is the same. How on earth is the Trinity a litmus test of the RCC when many Orthodox, that have never had any connection to Rome, believe the same? In reality, you're just ignorant.
It took some time for the RCC to gain enough power and develop it's trinity doctrine.
You think it started in a day?
Also, it took over 100 years later of an extra scriptural idea from some fella since the death of most of the Apostles to concoct the trinity lingo?