Saw several homes on first day out, moving too fast??

UPDATE: our offer was accepted!

We will be FTHBs and decided to see several homes in one with an agent. Loved one. Like literally fell in love. This was our first day out viewing. Immediately said to put in an offer. We are now in day two (but just over 24 hours). Is this moving too fast?? Did anyone else find their home the first time out?? Did you feel this anxiety or is it just me.

Advice will be needed. Freaking out a bit.

Is the first offer you ever submit always this stressful. Feel like I have to throw up.