Thanks for your query.
I have read your query & I understand your concerns.
It is difficult to say about damage to hymen
without examinig you. The 2 reasons for bleeding could be as follows:
1) Hymenal tear as you suspect.
2) Damage to vaginal lining (called mucosa) which is thin and sensitive. This damage leads to tearing up of mucosa in some places with your nails and lead to injury
The hymen damage can be tested by a gynecologist only after examination.
I hope I answered your query. I will be available for any followup queries you have.
IVF & Infertility