It is not permissible for a Muslim woman to have male friends. It was a pre-Islamic habit which Islam disapproved.

 

However, mixing with non-Mahrams and going out of our way to spend time with them obviously defies the essential ideals of Hijab. Muslim men and women who are not Mahram to each other are not supposed to interact when there is no point in doing so, and any interaction that does take place is supposed to be done in a professional manner. Conclusively, the idea of non-Mahram guys and girls spending time together as “friends” is not endorsed by Islam.

 

Ibn `Umar reported the Prophet (peace be upon him) as saying, “Behold! A man is not alone with a woman but the third of them is Ash-Shaitan.” (At-Tirmidhi) It is graded as an authentic hadith. My advice is that you do not propose to this woman in marriage except if she repents, wears hijab and abides by the law of Allah.