Your friend has told you she needs some time to grieve. Strictly honor her request. Let her be in charge. She will let you know when and if she is ready for something more.

Telling you she needs some space is not a put-down. A lot of things could happen. She and her ex may even get back together. She may decide she would rather not date or be in a relationship.

In any event she is hurting. If you want to help her, act like a friend.