NO. N-O, period. This is not, will not, will never be Powergirl. No matter how much DC wants to change the character for the sake of "political correctness", or caving in to those who say PeeGee is "too sexy".
Yes, I realize the New 52, and Earth 2:World's End" storyline, that Tanya Spears was a lab assistant in Starr Labs, and was "given" the Powergirl title by Karen Starr, the Powergirl of Earth-0 and the former Supergirl of the recently destroyed Earth-2 when Powergirl, along with the Huntress went back to Earth-2 to try to unsuccessfully.save it
DC keeps trying to wipe out the traditional Powergirl legend, but the current popularity of the "Harley Quinn-Powergirl" series proves the fans will not accept this.