Ladies I need your opinion?

I have recently got out a serious relationship. So there is this woman who is cool but she is really into me i mean she has told me repeated that she wants to be apart of my life but she know i am not no where need over my ex. She told me that she is cool with just being my friend and i know it may sound naive to believe her but i really enjoy her company and just hanging with her. I feel as if i am complicating things between us because she will come visit me and stay the night. Should i just stop talking to her completely? How can i handle this situation?

Thanks in advance for the assistance!