You really couldn't make a worse choice. The Beretta 9000 is way too wide, has heavy controls, a long heavy "stagey" trigger, a low slide profile which makes the cocking serrations all but impossible to grip, and a grip that is about as ergonomic as a 2 by 4.
Avoid, avoid, avoid.
Women tend to do well with the H&K USPc 9mm, the S&W 3913 Ladysmith, and the Colt Mustang .380, I would also add the excellent SiG P239 in 9mm to the list.
If money is an issue, try her out with a BERSA Thunder in .380, very nice and very good value (just $260).
But avoid the Beretta.