You just have to accept that is the convention to say a woman's name. You can say either a women's magazine or a woman's magazine.
A feminine name is different from a woman's name. Some people might say Isabelle sounds more feminine than Emma. (People make associations between different sounds and femininity - particular vowels, number of syllables and so on.)
Is it a feminine name? Is it a women's name? ... see the comments above.
Is it a female name? ... Generally, in English only living organisms are called male or female. Male patients... a female lion... male and female plants...
Is it a female's name?... If female is used as a noun, it only refers to animals. To call a woman "a female" is usually considered quite insulting.