
Markus

There's nothing silly about your feelings of grief. I have pets (3 cats) and would feel absolutely devastated if anything should happen to any of them.
What you're feeling is totally normal and expected. Give yourself permission....and time....to grieve. There's no correct way or correct time limit to grief. It's all very personal and individual.
Pets are family. Sometimes more so than other humans in our lives. Treasure the memories you have of Minki. You made her life wonderful while she was here. Take comfort in what you did for her while you shared her life.