Agree. I should have clarified my recommendation for the new Rebel 500. I meant the newest generation.
I like the idea of the sv650, as it would allow her to keep the bike longer as opposed to a smaller ninja 300 or 250If you can find a decent used one, an SV650 or SV650S would be good. The only difference is the partial fairing around the headlight cluster on the S model. These are fantastic bikes and she would never outgrow it. My wife had one for a while, then she got a VFR 800. A friend of ours had one and she put just over 70K miles on it before an accident scuffed it and the insurance totaled it (but gave her a BIG check for it!). She was 5' 2-1/4" tall. It had been lowered a bit and that worked great for her. You can put frame sliders on them that really help prevent damage from tip overs. You can put luggage on them and go touring. They get good gas mileage. They have plenty of power. Around 2002/3, or somewhere in there, they got fuel injection I think. But the carbed ones were still just fine.
Stock image of 2001 SV 650S
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My wife's bike on a week long trip through Colorado
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Our friend on a trip through East Texas
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More info: https://en.wikipedia.org/wiki/Suzuki_SV650