I would recommend Vitz 2010 since it has CVT transmission or in simpler words automatic gears.
I initially had Honda City Aspire but it was Manual, as I was in a same situation as you are so I had to specifically Import Vitz 2010 for my sister, and trust me mate there is a HUGE difference in driving Vitz in crazy traffic of Karachi.
City is a Saloon and will highly not recommend a new driver like female to start off with. My sister had started taking the lessons on Vitz so my advise is to go for Vitz and then in longer run Honda City.
I hope the above helps.