Dog bite

Hello I (27 year old Female) got bit by a dog today! It managed to bite me through my clothes while it didn’t puncture! And the bleeding is very minimal, I am very scared that it could lead to an infection! I already cleaned the area with rubbing alcohol, and applied a first aid triple antibiotic ointment on the wounds. Should I go to the hospital? I am worried because I don’t have the financial means to pay for a hospital bill.