We lost our mom... how to help dog while also grieving

I now have sole ownership of the family dog. My mom was retired and our dog lived with her full time. Our dog has used my house as her own also and has for years. She has bowls and blankets. I have her normal snacks and wet food. She has a fenced yard at my place. I bring her everwhere i can a d walk her. It's just us now. I still own my mother's home and bring her on weekends. I work full time and go home for lunch. She is comforting when I am very low but she's shaking more often with anxiety. She not eating everyday and skips snack time.

She's 9.