Hi Nishi and
to the forums!
Houdini is beautiful
However, it's concerning that she's already managed to escape twice.
It is normal for new budgies to want to try and "escape" their cage--they don't see it as their home yet, although they will as they settle in.
However, there should never be any space for them to escape through. Tying down the "guillotine style" doors by the food and water is a great thing to do. I would use plastic zip ties for doors you don't open and plastic or wooden clips for the other ones. Without knowing that the wire is made of a safe metal for budgies, it is not a safe thing to have in the cage.
If she's escaping through the cage bars, then they are not the right size for your little one. The cage bars should be no further than half an inch apart to ensure she doesn't get stuck or go through the bars.
Be sure to check out these links for more information:
Meanwhile, I hope your little girl settles in well! Playing some soft music for her as well as covering her cage partway with a sheet will help her feel safer.
To prevent her injury, you should look for a new cage for her immediately. The minimum size it should be is 18 inches by 18 inches by 18 inches, which is also included in the links above.
Be sure to update us on how she's doing!
Also, please do read through the many other articles and "stickies" (threads "stuck" to the top of each subforum for easy reference) to ensure you're up to date on the very best of budgie care
Cheers, and hope to see you around!