Hello. Thank you for asking your question on just answer. My name isXXXXX will try to help.
The premise spray is not suppose to cause clinical signs in cats.
Did your cat lick some from the bottle?
What are the symptoms you are seeing?
No, whatever they are seeing in the cat it is not from you spraying the deltamethrin.
I got this confirmed by a vet at the ASPCA Animal Poison Control Center so they can call there is they do not believe you.
Here is the website with the phone number www.aspca.org/pet-care/poison-control/