I don't know if I would consider her new, but I've been listening to a lot of Courtney Barnett (indie rock) lately. Her first full album is streaming on YouTube from her record company.
If singers can be expanded to include bands - check out The Accidentals. They've played SXSW the last 2 years and have won some awards for upcoming bands to watch. [YOUTUBE]LIdP06x5R00[/YOUTUBE]