AaLuvadhun kadan Arunachala
Arunachala! It is your duty to take me over (aaLuvadhu = dominate) with your grace, compassion (which comes so naturally to you), and unconditional love like a mother. Because you are my mother and father to me now that I have surrendered to you.
Avvai in TamilNadu usually refers to Avvaiyar, a wise old lady who was a great saint and poet. She was an ardent devotee of Lord Vinayaka. Avvai also means any elderly lady or a mother. Here Bhagavan is beseeching Arunachala’s grace which manifested when he blessed Avvayar with his darshan, and when he gave his left half to Parvati, his consort.
A mother’s love is second to none. Compassion and affection are ingrained in a mother. Bhagavan is asking Arunachala who is infinitely more compassionate and loving than a mother to take over and protect him who has surrendered.
[Note: In Tamil medium schools children start with Avvayar's Aathichoodi, a short poem written by Avvaiyar 2000 years ago, that teaches the letters of the Tamil alphabet with each letter presenting a moral lesson, for eg: aa which is the first letter has this: Aram seyya virumbu meaning Aim to do good. This way good thoughts enter a child’s mind when they are young and stay with them leading them and guiding them as they grow old.]