The correct option is D no improvement
Option A: As compared to the underlined words in the text: "now they are", option A, 'now their' does not improve the sentence. 'Their' and 'they are' do not nearly mean the same. 'Their' is a possessive adjective whereas 'they are' is made up of a personal pronoun 'they' + verb 'are'.
'Their' expresses possession of something, but here it is followed by a verb 'given'. 'Their' cannot perform an action 'given'. Hence this isn't an appropriate option. A is incorrect.
Option B: 'Women' is a plural noun, hence 'womens' is grammatically incorrect. Some nouns do not require an 's' to make them plural, like women, men, children, oxen, etc. Hence option B is incorrect.
Option C: 'Women's names; now they are'
The semi-colon ';' does not improve the sentence. A semi-colon is used to separate two independent clauses in a sentence, which are not connected through connecting words, conjunctions.
The underlined part is joined using the word 'now'. Hence these clauses are already connected. In this case, a comma ',' is preferred over a semi-colon ';'. Hence option C is incorrect.
Since none of the options can improve the sentence, it is established that the sentence does not need an improvement. Hence, D is the correct option.