I will say, as someone with short curly hair, short curly updos are possible and actually very easy/quick.
Most people with straight hair need longer hair for updos because they need the volume...we don't. You can hide the length of your actual hair with strategucally placed bobby pins. You just have to find the method that's right for you.
I have no clue how long her hair is here, but something like this is pretty easy to achieve with short naturally curly hair.
Or if your hair is shorter in the front...
And I know this was the style Hayden was rocking when her hair was short...except you can skip all the time it took for her to curl her hair in the first place.