"But we do our best to help mark key moments that the public wish to show their support for and we are pleased to be lighting it this evening."
The Iraqi community held a candlelight vigil in Mission Bay last night in solidarity with the victims and their loved ones, as well as to support one another in a time of grief.
In June, the Sky Tower was lit up in rainbow colours to commemorate the 49 victims of the Orlando nightclub massacre.
The landmark was also lit up in red, white and blue for France following the terrorist attacks in Paris that killed more than 120 people.
And tomorrow the Sky Tower will switch to rainbow lighting to mark the 30th anniversary of the Homosexual Law Reform Bill.
Ms Alani posted her letter on SkyCity's Facebook page Tuesday morning.
She said she was "very happy" they would light up the Sky Tower, but "it was never about the lights. It's about compassion.
"I was disappointed that they didn't acknowledge the attack. It broke my heart a bit.
"The thing is, if they're going to acknowledge Paris, why not Iraq? It was families killed, mainly women and children, at a shopping mall."
Ms Alani said she had been flooded with comments and messages on Facebook, positive and negative. Some of the comments were extremely offensive and threatened her personal safety.