Recently, my son's endocrinologist refused to renew a prescription for EMLA cream and stated that there were some concerns about long-term use. Topical lidocaine can cause one to become allergic to the lidocaine itself.
Typical reactions are skin rash, etc.
I expect that is his concern. If not, I don't know what. Maybe he or she will write the prescription. Contact the drug information department of the company manufacturing EMLA and ask the same question. Ask for a referral or an opinion from a dermatologist who might know the answer.