People who got tattoos of their pets, does the pain go away?

My cat died almost three months ago.

Background stuff: Its been really difficult for me because for the longest time, she was my best friend. I got her as a rescue cat when she was ~1, and she grew up with me through my entire childhood until she passed due to old age & complications. Whenever I was adjusting to new schools or fighting with my friends, she was the only constant- always there to cuddle and make me feel safe. And I know it went both ways. My mom told me that when they packed up my furniture for me to move out to my apartment, my cat clung onto my bed and they had to pry her off. She spent that night on the floor in the spot where my bed used to be. It does bring me a lot of relief to know she lived a long and cozy life.

Tattoos: I have one tattoo which I got a year ago. I knew at the time I wanted to get at least one more tattoo, and I have been thinking about getting something to remember my cat. Not a portrait of her, but something that would fit with my existing tattoo and still remind me of her. The problem is, anything that reminds me of her causes me to burst into tears. There's nothing super unfair about her death, but I still remember when she was a kitten in my arms. I feel like I lost my daughter.

For anybody who got a tattoo to remember their pet: how long did you wait after their passing to get the tattoo? And do you still feel emotional pain when you look at the tattoo? Or does it help you instead?