It's a NO! close friend means having strong bond/connection w/ the other woman aside from you as a wife and it's not fine w/me. First of all when you got married, you promised that she is the only girl that you will look after for the rest of your life. You promise that she will be your other half and that only means one thing, your WIFE is your only significant other, your bestfriend, your close friend, your buddy, your companion. In short having a close female friend that you can share everything and tell everything is breaking your vow.