The 26-year-old posted a photo on her Instagram story that told her 374,000 followers “Another day..fell totally alienated.”
Malin, who named her newborn after her late mother, accompanied the words with an image of a hospital room floor and equipment.
The little tot was born on 23 December – and is currently being looked after in hospital.
Malin has been keeping her fans up to date with her little girl’s progress, firstly by uploading a snap of her in the intensive care unit when she announced her birth.
First-time mum, Malin announced Consy’s early arrival by writing: “Happy New Year..Tom and I are so happy to let you all know that our baby girl CONSY arrived in this world 23rd December 2018, seven weeks early.
[Malin Andersson/ Instagram]
“She is so beautiful, we are totally in love with her and feel so blessed that she is here but unfortunately due to complications, she is currently being cared for at Great Ormond Street.
“We have received a number of messages over the past week and there has been a lot of speculation and so we wanted to share our news with you so you could hear from us first hand.
“We are so thankful for the amazing care she is receiving here and promise to update you on her progress but for the time being we hope you can all respect our privacy.
“We can’t wait to share her with you all soon. Love, Ma & Tom x.”
Fans of the star have sent her positive messages and have let her know that they are praying for baby Consy.
One posted: “My prayers are with you Malin and Consym you are strong and your mummy loves you loads. You will get stronger and stronger and be at home soon baby girl.”
Another offered: “Please pray for the most beautiful girl @missmalinsara. She has had a rollercoaster of a life to date and she is one of the most beautiful souls I’ve met.”