assuming you live in the u. s. tetanus is very rare. it is rare mainly because we get tetanus vaccines every ten years (the recommendation). it would be highly-unlikely that you would get tetanus based on the incident that you described but it would still be wise to get a vaccine if you are not properly immunized. for this and future incidents. tetanus (the disease) typically is 100% fatal and an inexpensive and highly-effective vaccine given every ten years is 100% preventative. this is the best deal in medicine!
i picked up broken glass that was in the house and it cut my finger. could i get tetanus? . it didnt go deep but did go in my skin. it did bleed a tiny bit. but not much at all. i am 25 years old and havent had my shot in a long time.