AITA for questioning why a lady has her dog with her.

I needed an oil change and took my car to Midas. I'm in the waiting room killing time till my car is ready.  Scrolling my phone and I immediately start having a stuffy nose and watery eyes.  I'm allergic to dogs and certain breeds make me feel like shit real quick.   This lady brings in a husky, a breed that makes me miserable.  It's clearly not a service dog since it starts walking around sniffing things.  

I immediately speak up and ask, why do you need your dog with you?  I'm allergic to your dog and you are making me miserable.  She says she was out for some errands. I respond back with so that means you need your dog with you?  She responds with I enjoy his company or something like that. I asked the employee, "Is Midas dog friendly?".  The employee has no idea.  

I asked her if she could keep her dog outside, I'd appreciate it.  She starts giving me attitude and says no, something about the sun and getting sunburned if she is going to be out there a while.  She takes a seat and I angrily go outside. I spent probably 20 minutes outside then my car was ready.  I walk back in and sarcastically say "Look, no sunburn".  I pay, get my keys and as I walk out I say "you don't need your dog to get a fucking oil change".  Was I the asshole and wrong for getting angry?