Hi. I Removed An Air Conditioner From My Window Today

Hi. I removed an air conditioner from my window today in New Hampshire (USA). There was a bat on the bottom of the air conditioner that fell on the floor. I presume it may have gotten crushed when I pulled the air conditioner came in the window. I mistakenly picked up the bat thinking it was a piece of insulation. I instantly dropped it (only touched it for less than a second). The bat fell to the floor dead but obviously had not been dead long. I instantly washed my hands. Did not feel any bite and had no wounds on my hands. Should I see a dr / rabies shot?