First or second, I don't care.
I'm usually hated, people despair.
For some, my name sounds like a blare
but I can bring happiness, I swear.
Hint (if you are stuck):
My name was a gift, so debonair!
It could be
First or second, I don't care
Monday can be the first day of the week or the second (side note : I discovered that on wristwatches, and monday being the second day is something I can't wrap my head around)
I'm usually hated, people despair
"How is it going ?" "Like a monday !"
For some, my name, sound like a blare
I don't get this one ! :D EDIT : Perhaps unhappy peoples screaming ?
Lastly, but I can bring happyness, I swear
because, uh..., if you consider it being the first day of the week, something nice can happen in this new week ?
As a comment, if and only if my answer is right, the hint might be a bit too obvious !