Someone may talk with you privately about it over the coming days. I think the health professionals in the hospital might have helped you out with this did they, and asked you questions and may have examined hidden signs of abuse you showed to them, looked at injuries perhaps, treated and advised you. They are usually on the look out for such things because they don't like seeing or hearing about these types of happenings whatsoever, any form of suffering, and the hidden stuff too, which happens behind closed doors. They will tend to be keen to address it properly with a police report where it makes sense to report it. The police report itself: It depends on the severity and / or urgency of the offence. Same as any other type of working person, probably any profession and industrial area does it, they have to internally prioritise anything based on various metrics of assessment, in order to deal with the things in a strategic sequence, and around other things they are dealing with at the time. Just because it was filed in any place of importance, in a hospital in your case, doesn't mean they won't assess the report on the merits of its urgency, and obviously they have to prioritise things this way. If the report is filed by a health professional then its usually closer to the truthiness of the issue and more accurate, but will still be prioritised accordingly.
If you ever need emergency assistance you can get it, due in part to that prioritising methodology.
So for instance, if there were imminent risk and danger to you, police will likely act upon that immediately, may even drop everything they are doing to rush to protect and assist you. But if for instance the report is of a form of domestic violence which is ongoing, or occurred before, but not life threatening or an imminent risk or danger to you, its just very unpleasant, especially if you have been able to address it yourself partially, by fleeing the scene or avoiding it, controlling it somehow or relocating yourself away from the threat etc., then they may have an initial impartial conversation with you at some stage, either in person or maybe over the phone even, about steps that you can take to mitigate the situation to some extent, how to avoid it and change the situation away from any repetition, to stop it ever happening again, changes and all the rest of it, depending on your circumstances. If they need to make a more serious investigation into it all then, that too, they will do that, soon but not necessarily instantly, but if you were able to give a good account all by yourself then on some occasions they might just speak privately to you about it, this may happen in the coming days.
There is always people you can talk to, many people everywhere I mean in terms of locations you might be, most will be willing to help you, not everyone but most, helping any stranger if they need it, many folks will be prepared to be approached by any stranger with a request for help, I mean if they can help. And there is also many phone numbers, charities, advice people and forums which you can look at, most times it has happened before and has standard procedures for dealing with it, other people occasionally write up their specific experiences on forums.