Once the Snow-MILF was alive, she noticed her new body, and then noticed you. It was a Christmas Miracle, because the top-hat was just what you needed to make a new friend, and have a new mother. Maybe even both in one package according to what you were just seeing in the snow right now.
You were starting to worry if building this Snow-MILF, and placing the top-hat on her was a mistake, and also hoped that she wouldn't go on a rampage. However, you see that the Snow-MILF had a heart, as she picked you up, and held you tight like a mother you always wanted made of snow, and other stuff you placed in her. The carrot nose, eyes, and mouth were shown with gratitude, and motherly love. Something you actually haven't seen in a Snow-MILF until now.
"I shall call you, Frostia," You say, as you hugged her more. It would make sense that you would call her that, since she was made of snow, and she had the body of an adult woman. You knew right then, and there that you were going to have fun with your new mother. "My name is Arnell," You explain to Frostia. "I always wanted to celebrate the winter time with someone. Who better to spend it with you, Frostia. I basically didn't have any friends after my old parents died. Hopefully, you won't regret having someone like me in your life, right?" Frostia smiled, and continued to hug you, knowing that she'll be a good parent to a human child like you.