There is no way to tell you this is okay. None.
The risk of infection or harming your sexual, or reproductive health, is far too great.
A doctor, in a clean environment, using sterile, surgical instruments is the only way if you do not choose to do it by intercourse.
I don't know if you are the same girl who wrote in recently but the answer is what the answer is. It's not safe, and no one can tell you it is okay to perform surgery.
You're asking a question no one can legally answer. Even a doctor, over the internet, would never give you permission to do this. I wish there were a way to help you.
If you make an appointment, they will want to know what you wish to see the doctor about. You just tell them you have a partially torn hymen and you want to seek the doctor's advice about having it removed completely.
I don't know your age, but if you are a minor, you may need parental permission, but the office will tell you about that. You may also need to use your parent's insurance, if any.