It is a name often mentioned in duas by the Ahlul Bayt used to describe one's self. It basically means the worthless slave.
يَا سَيِّدِي فَكَيْفَ بِي وَأَنَا عَبْدُكَ الضَّعِيفُ الذَّلِيلُ
O Master, so what about me?! For I am Your weak, lowly, ... slave.
I LOVE YOUR USER NAME!! I had never actually read it before lol but now that u explained it it's beautiful