Is it normal to feel this way?

I've lost my dog about a week ago (was a dachshund) She was very important part of my life (she meant a lot to me) and i really cared for her and made sure she got everything to make her happy. She was like my baby. would like to know whether is it normal that i am still very affected by it? The day of her death i cried so much and my parents even offered to get me another dog i said i don't want anymore pets (even tho she was more than just a pet for me). But yea i'd like to know whether is it normal to still feel somewhat depressed and sad about her?
Even while typing this question my eyes are getting watery

For those who will say "it was just a pet" .. keep your comments to yourselves!
Is it normal to feel this way?

Is it normal to feel this way?
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