The behaviour you have described can be present in budgies of both genders.
From the photo, there is no doubt that your Twinkle is a female budgie.
She is currently in breeding condition (displaying dark brown cere) and in some cases this can potentiate more aggressive behaviour due to her hormones.
Also the fact that Twinkle has a mirror toy on her cage is not ideal, as this can also lead to behavioural problems and will also put a stop to any attempts on your part in terms of training and establishing a solid bond with your budgie.
Not too long ago, we had a member whose single female budgie was very much attached to a mirror toy and she even ended up by laying eggs as a consequence.
It would be best if you could replace the mirror by another different type of toy (wooden chew toys are a great replacement) and if there are more toys with mirrors on it, then replacing them for other toys would also be good.
By doing this, chances are high your Twinkle's behaviour will change for the better, and in due time she will begin to show curiosity towards other toys and with the continued work she will in turn be more receptive to you.
For the detailed information and tips on how to train and form a long lasting bond with your budgie, be sure to check the stickies at the top at this section of Talk Budgies: https://talkbudgies.com/290-taming-bonding/
Best of luck with Twinkle!