2 month shots

My 2 month old just got her shots earlier today and has been sleeping like a rock ever since we got home. I gave her Tylenol right afterwards (doctor advised me to). Is this normal for her to sleep like this. I’m just worried I was already nervous about getting her vaccinated because my mom and sister are anti-vax and are totally against what I’m doing and make me feel like I made the wrong decision for her to get them