Hey @JeSuisDiva,
Thanks for being a member of the Klaviyo community!
Are contacts being captured by the Almost Eyes segment you highlighted in your first screenshot? If contacts are not being captured by this segment, then they would not be served this flow. Segment triggered flows are served to contacts at the moment they meet the segment definitions and are added to the segment. Your second screenshot, when previewing the trigger setup seems to show that no contacts have been added to the segment; which would indicate that your segment definitions may be set up correctly.
I would first ensure that the profile value you are selecting of “Almond Eyes - QUIZ” and “Almond Eyes - KNOWN” are spelled correctly as Klaviyo’s definitions are both spelling and case sensitive. I would also recommend using the “Equals” rule as opposed to the “Contains” rule you have in the definition since it doesn’t sound like the data type for this property you are passing is in a list format.
Hope this helps!
David