It is normal to have a hymenal remnant with or with out being a virgin. I am unable to tell you if your hymen is intact without an exam or photo. If you are a virgin it is possible to still have a damaged hymen due to strenuous activity, trauma or even riding a bicycle. Hymenal remnants are normal.
How do you know it's a hymenal remnant and not something else?
If you're using the internet to self diagnose what you think is a hymenal tag, do yourself a favor and go see a gynecologist. If they confirm that it's a hymenal tag you can leave it alone if it doesn't bother you.
Hymenoplasty, Hymen repair and correction
The hymen is just within the entrance to the vagina, the introitus, and may have excessive remnants. These can cause concerns because of their appearance or sensation. They can become irritated and uncomfortable. They can be removed or trimmed with a simple procedure. The hymen can also be reconstructed. This is termed revirgination or revirginization. This is common in some cultures and is commonly requested before marriage.
A hymen remnant, especially if you are still a virgin, is totally normal and nothing needs to be done about it. If you are worried consult with an OB GYN or with your primary care physician. Best wishes.
The hymen is a ring of tissue just inside the vaginal opening, which becomes damaged during a woman's first sexual encounter during vaginal penetration and often (but not always) bleeds. Other activities can also damage the hymen: use of tampons, certain sporting activities, tampon use, and masturbation, to name a few. The hymen can naturally come in many different shapes and sizes from completely blocking the vaginal opening (which leads to medical problems, because menstrual blood cannot escape) to barely there at all and everything in between. Hymeneal remnants are present in every woman and can also vary greatly from being very large and visible protruding from the vaginal opening to almost imperceptible. Nothing needs to be "done" about it, if it does not bother you. On the other hand, if it is a large remnant and you do not like the look or feel of it, it can easily removed or shortened with a simple in-office surgery under local anesthesia.