Here in Australia, you wouldn’t report it if your goal was to obtain “justice” through a criminal conviction. Depending on what state you live in, as many as 9 out of 10 rape complaints to police never make it to trial (let alone a conviction).
But there are other reasons that motivate some people to report, in spite of the stats against them. Some need to do it for the sake of closure, some need want the police to have a record of the complaint in case there are future victims whose complaint they could support (or, indeed, existing complaints about the perp that you don’t know about). Some people? Just need to stick it to the system and claim back what they see as a voice, or to be part of the slow (slooooow) cultural shift against victim blaming.
For me? I reported because I needed to start behaving like what happend to me was a serious criminal offence, to help shift me out of some serious Stockholm syndrome issues. Conviction? Never gonna happen. Probably he will never be questioned by police. But it helped me. A lot. In large part because getting him out in prison wasn’t my goal.
So, there’s lots of reasons people choose to report. Ultimately, it’s got to be a personal decision about what you need to heal.
The way you will be treated if you decide to report? Will vary not just from jurisdiction to jurisdiction, but literally from one police precinct to the next. Some places? You can actually find a whole lot of victim support built into the reporting process. Most places though? Not so much.
It’s something to talk over with your T. There is no obligation on you to report, and it’s likely that the process of reporting in itself may be retraumatising, so don’t rush your decision either way. Having good support in place is, IMO, an important first step.