If this isn’t your home: Your landlord is responsible for this and should be able to provide an EICR showing that he’s had a qualified professional review of your home installation and rectify serious issues before you even moved in.
If you are the homeowner: I’d suggest you commission a NICEIC or other registered and qualified electrician to undertake an EICR that will report the state of your home electrical installation and flag what needs addressing.
An EICR should be undertaken every 5 years; that said, most people have probably never had one or know what it is.
To directly answer your question:
The exposed copper should be the CPC (Circuit Protective Conductor), aka Earth, so being exposed poses no risk. It would have the same electrical potential as the outside of any metal electrical goods like a kettle or toaster.
A major safety concern is that there is no strain relief or protection to prevent a cable from being pulled loose or out entirely, which could be a fire or electrical hazard.
Assuming these are genuine WAGO connectors and that there is enough slack, you could rewire this (when the circuit is proven isolated) into a WAGO BOX - https://www.tlc-direct.co.uk/Products/WAGOBOX.html
I’d imagine you also want to clip the cable. to avoid it snagging on things.