There is an Intelligence Directorate in DOE but it has to do with nuclear weapons & technology.
https://www.energy.gov/intelligence/office-intelligence-and-counterintelligence
Nothing to do with Q scribbling.
I had a Q clearance also for a number of years when I worked in that S&T area.
At least back during the Cold War, they took the Q clearance thing very seriously. In 7th grade, my geography teacher, “Coach W”, thought it would be a cool project for us kids to send off to other countries’ tourism bureaus for their tourism packets and write reports about tourism and the tourism industry in that country.
He put the names of the names of the countries on slips of paper and passed his coach’s hat around for us to draw slips. I drew Romania.
I checked the mailbox every day, hoping, but no packet from Romania. Everybody else got theirs, and deadline was looming. I thought “ stupid commies”. But no, it was stupid CIA and FBI.
I came home from school one day to find my mother in a tizzy. The FBI had come knocking. Then they went to my school and poor Coach W was hauled into the principal’s office for questioning, and they literally had the poor man up against the wall! The principal was horrified.
Poor dear Coach W (we kids adored him) cancelled the project, and never repeated it. I was embarrassed as only a 7th grade girl can be.