Can I also say, having had a lot of experience with the NHS prior to Covid-19, that it is often really inefficient and things get lost/deprioritized/phone calls don't occur, so the absolutely worst thing you can do is just sit home and fume. If you wait for them, you can be waiting a long time if something isn't immediately straightforward. Get on the phone, contact the GP today, asking what he/she is doing to chase this scan, ditto the health visitor, if you know the consultant's name you are supposed to be seeing, leave voice mails for them, and their secretary, ring PALS and say you are concerned to get this sorted rapidly (and would hate to be making a complaint in a few months time), contact your MP and so forth. If, and having contacted private providers for a scan, there is no joy, you know you have done everything you can to push this forward (and would indeed have grounds for complaint).
I have had to do this several times, it's not fair, pushy people do get more in the NHS (e.g. phoning the secretary of a consultant, to see if they are in/in any private clinics, taking a last minute appointment).
Even if the answer is: no clinics are not running in this locality, perhaps there is somewhere else your GP can quickly refer you, or that you can travel to get the initial scan.