Instead of using a view to drive the automation, you could use a formula that checks for the same date-based criteria as the view filter, but also only outputs the trigger value when the current time is a specific hour. You didn’t provide details on the date-based driver, but my guess from your screenshot is that you want these emails sent every Friday. If that’s the case, this should work:
AND(WEEKDAY(TODAY()) = 5, HOUR(NOW()) = 10)
That will output a 1 only on Friday mornings during the 10 o’clock hour, and 0 the rest of the time. Now you can change your automation trigger to When record matches conditions, with the condition being that this formula field outputs a 1. If my assumption about the date trigger is incorrect, then please share more info so that we can guide you in the right direction.
NOTE: the NOW() function doesn’t update perpetually, so the email won’t be sent precisely at 10 am. Check the docs for details on the update frequency for NOW().