I am writing this post in order to give you some information, just in case, when you'll have a similar problem as me. I really appreciate all your answers sweeties. But I already undertook some steps towards the main issue, descibed in original post. And the result is, I have had a few answers, from my diabetes team, from my local unions, from diabetic advocacy. Independently of one another, three different sources gave me the very similar answer. There's something like "Equality Act 2010" which defines how your employer is obliged to provide a reasonable adjustment at the workplace and further : " asking your employer to modify their policy that mobile phones are not allowed, would be an example of a reasonable adjustment under the Equality Act. By refusing to consider this reasonable adjustment, your employer is likely to be discriminating against you". That's only a fragment.
Probably, I won't go any further with my knowledge, only I will request to keep my mobile and the rest of my diabetic equipment as necessary. And I will keep calm. But please, be aware of your rights. You have only one life and one health, nobody will look after you until you'll look after yourself.