All accounts show that Alix was devoted to her grandmother. Before Alice's death, Alix spent a good bit of time in England, but these visits increased after Alice's death. Victoria stepped into the role of mother to an extent to the younger Hessian children and Alix was an especial favorite and Alix referred to her as 'dearest Grandmama' and signed letters 'your loving little granddaughter' and wrote very freely to her. She also noted her devastation at being unable to attend QV's funeral due to her pregnancy . QV played a very formidable role in the development of Alix and Alix considered herself very English in style and behavior. QV even hoped to make her Queen of England by marrying her to the eventual heir 'Eddy' the Duke of Clarence. Alix felt secure enough in herself and her relationship to resist her formidable grandmama and while Victoria was greatly disappointed she didn't press her once she knew her affections would never turn in that direction. I don't think I've ever read anything negative about their relationship.
Sample letter:
Subject: Aleksandra Fyodorovna to Queen Victoria, 26 December 1893
My darling Grandmama,
I cannot help always dreading the coming of the New
Year, as one never knows what is in store for one, God
grant that it may be full of joy and happiness for my
darling [brother] Ernie and the sweet little Wife
[Victoria Melita of Edinburgh] whom he is soon going
to fetch. Now I long for my precious One [father] more
than ever, how happy he would have been to see Ernie
happy, and what a comfort it would have been to me, as
life indeed will be very different for me, as I shall
be feeling myself *de trop.* But I must not bother You
with a long letter, as I am sure You have a lot to do.
Kissing Your dear hand most tenderly, and again wish
you much joy,
I remain, Darling Grandmama dear,
Ever your very loving, grateful and dutiful child,
Alix.
Subject: Empress Aleksandra to her sister, 28 January 1901 Princess Victoria of Battenberg.
How I envy you being able to see beloved Grandmama
[Queen Victoria] being taken to her last rest. I
cannot believe she is really gone, that we shall never
see her any more. It seems impossible. Since one can
remember, she was in our life, and a dearer kinder
being never was. The whole world sorrows over her.
England without the Queen seems impossible. How
thankful, that she was spared all physical suffering.
Morally, she had too much to bear this year.