Is it permissible for men to look at women without suspicion?

Question:
What is the ruling on men looking at women without suspicion?

Answer:
It is obligatory to lower the gaze, but if necessity calls for it, such as: a lost item is found; a daughter has a lost item, among people who are uncovered, a slave woman has a lost item, if need calls for this, there is no harm, or if need calls for it, a lost daughter, a lost wife, a lost slave woman, in a land where they do not cover themselves; he may look... perhaps it is his daughter, or his wife, or his slave woman.
The student: The commentator says that the author, based on the apparent meaning of the heading, holds the view that it is permissible for a woman to look at a non-mahram, unlike the reverse.
The Shaykh: Without suspicion is sufficient, without suspicion, such as a general look, or a look to recognize him as her brother, or her father, or her husband, but if it is for suspicion, that is what is prohibited.