Descriptions can be found here for all 16 types: link

Exactly.

I am torn between ENTP & ENFP.

i feel this is closer

Really? It seems like she prefers to have matters settled rather than open as shown by her constantly asking her father to leave but aside from that she seems to like more flexible guidelines than strict, prefer to improvise as opposed to make step by step plan as shown when she ran away and that also shows she seems more spontaneous and open to surprises than needing to know things in advance. That's why I was pretty confident about perceiving over judging but more confused on thinking vs feeling.

but she's quick to judge as well, she has an opinion on almost everything. She can hardly hold back her opinions to herself, which makes her less of perceiving than judging.
I think she's more of a thinking types as she has quick reverts to everyone, she can clearly order guards and reveal her identity when need arose, she was quick to discuss the matter with jafar and her father.
She feels too, but less than she thinks. She's thinking again when she meets Al as Prince Ali and thena agin after the ride, if he's really that person only.

^ Yes but I don't think having an opinion is directly related to judging over perceiving? Perceiving and Judging in relation to Myers-Briggs types as I have read it, are as follows:

Prefer to have matters settled (Judging) vs Prefer to leave options open (Perceiving)
Rules & deadlines should be respected (Judging) vs Rules & deadlines should be flexible (Perceiving)
Prefer detailed, step by step directions (Judging) vs Prefer to improvise along the way (Perceiving)
Make plans and like to be ready in advance (Judging) vs Spontaneous and welcome new surprises (Perceiving)

So by that definition of the Judging vs Perceiving for Myers-Briggs shows her to be much more Judging over Perceiving.

As far as Thinking vs Feeling, these are the parameters as I have read them according to these types:
Decide impersonally with logic (Thinking) vs Decide emotionally (selfish or selfless) (Feeling)
Value justice and fairness (Thinking) vs Value harmony and forgiveness (Feeling)
Enjoy finding flaws in argument (Thinking) vs Like to please and point out best in people (Feeling)
Described as reasonable & level-headed (Thinking) vs Described as warm & empathetic (Feeling)

So by those, I find her to be equally thinking and feeling. I'd love to know which site or parameters you are using for figuring out the differences between the types?