Tried To Insert One Finger Into My Girlfriend's Hymen Succeeded

Tried to insert one finger into my girlfriend's hymen succeeded but trying two fingers hurts her "burning pain", penile perforation failed of course, as it resembles four fingers penetration, psychological reassurance and repeated trials during non penetrative orgasms over 10 months also failed, she doesn't want to see a gynecologist.
Please help me about a useful local anesthetic or whatever, thanks.