Hi there,
If you are applying for a UK CAA Class 1 Medical, you will most likely be issued a medical, but with an OML stipulated on it, unless you can prove that you no longer require an EpiPen.
What I am not yet sure of, is whether or not you can receive an initial EASA Class 1 medical with an OML limitation.
I have attached the flowchart used by the UK CAA when dealing with individuals who suffer from allergies such as yourself.
Good luck!