I'm the same age and currently waiting for my 2-week referral letter for inflammatory breast cancer type symptoms.
Be really assertive with the doctor and insist on a 2 week referral to a breast clinic as they do see benign non-cancerous conditions at breast clinics too.
I hope they refer you soon!
I would insist on an urgent referral to the breast clinic, not because I believe that you have bc but you need peace of mind and they deal with many breast conditions which are not bc. They are the experts and will be able to check things out, it could possibly be a cyst which they can drain in the clinic.
Have you got a hospital referral via your GP? I don't know if age has anything to do with how quickly you might get a clinic appointment - maybe it would be worth you actually ringing the BCC Careline and speaking to someone who can point you in the right direction? Of course you are worried, and you need some help, not to be chivvied away. Wishing you the best.