Gender speech

Taylor Swift was asked a question in an interview "But you only ever write songs about your ex-boyfriends" and she smartly replied "I think, frankly that's a very sexist angle to take. No one says that about Ed Sheeran. No one says that about Bruno Mars. They're all writing songs about their exes, their current girlfriend, their love life. And no one raises a red flag there".

Is sexism still alive? 

Assumptions are always being made about the differences between and men and women, how they speak differently, how they are treated or should be treated, etc... Even being addressed has sexism in it, most people may not know or acknowledge it but being called Mrs creates the idea that you are unavailable yet Miss suggest they are young, inexperienced. When speaking to people there should be more care with how you address them as assuming a gender or calling a woman Mrs when they prefer Ms is such a simple thing but it may mean more to someone else. Language shows an old attitude to gender, most forms show men to be superior to women. 
Children are given titles when they are born, whether it be Miss for a girl and Master for a boy, these titles then change. For a boy Master will change to Mr when they turn 16, on the other hand, girls get the title Miss until they are married, at that point they become Mrs. Why is it that a man's title will change when they become old enough for Mister but a woman has to wait till she is married for a change in title? The negative connotations that are related to Miss maybe due to the word being a contraction of mistress, most people associate the word mistress to be someone who is a girlfriend of a man that is married. The use of Ms means that people may be less prejudice as it does not indicate their marital status before their name. The use of Ms almost removes the idea that a man is getting power over the women when they marry, her title will not change neither will his.
These titles may suggest that men are more dominant and have more power whereas women are lower than men. A linguist called Deborah Tannen represented her ideas of men and women's language in what each gender looks for in a conversation. The six contrasts are status vs support, independence vs intimacy, advice vs understanding, information vs feelings, orders vs proposals and conflict vs compromise. According to these contracts men want the upper hand to stop others from dominating them,they are concerned with their status and want to be independent, they look for solutions to problems and use or want direct imperatives. Whereas women want confirmation and support of their ideas, seek understanding or sympathy, elaborate and talk more about feelings and don't use imperatives, they are more likely to suggest something rather than say a command.
It may matter you, it may not, but it could matter to someone else.