Learn Turkish: Zaten bakımlı bir kadınsın, endişelenmene gerek yok. - You are already a well-groomed woman, you don't need to worry.

This uses the structure for expressing a lack of necessity. We take the verb endişelenmek (to worry), turn it into a verbal noun with -me, add the possessive -n to show it is your action, and finish with the dative suffix -e. Literally, it translates to 'to your worrying, there is no need.'

Could I just use the dictionary form and say endişelenmek gerek yok?

No, you cannot use the full infinitive (-mak / -mek) with gerek yok when you want to specify who does not need to do the action. You must use the short verbal noun (-ma / -me), add the person's possessive suffix (here, -n for 'your'), and attach the dative case (-a / -e).

What is the root of the word bakımlı and what does the suffix do?

The root is bakım, which means 'care' or 'maintenance'. The suffix -lı (or -li) means 'with' or 'having'. So bakımlı literally means 'with care', which we translate as 'well-groomed' when talking about a person.

Why is the word order bakımlı bir kadınsın and not bir bakımlı kadınsın?