Do you mean 93003? Apart from its mysterious visit to Bicester, and attending the "Great Gathering" at Derby, the record of its movements in TOPS (going back to early June last year) just shows the usual light engine moves from Worksop to Peterborough / Doncaster / Newark (which were presumably for mileage accumulation and/or driver training).
The same applies for 93009; apart from 5Q09 yesterday and today's 5Q02, the only unusual movement recorded since the end of July last year (can't see any further back) was when it visited Castle Donington EMDC in September, but
post #1878 explained that was just to keep it out of Worksop during track alteration work, along with 93008.
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It appears that the 93s have now had their registration status changed from B (delivery / on test) to C (normal service) which would reflect the completion of route clearance announced in
post #2253.
As I understand it, the Q headcodes are required while in status B (on test) because the locos are running under the authority of "Network Rail Summary of Rolling Stock / Infrastructure Compatibility" (NRSC) paperwork issued by the Network Rail Assurance Panel (NRAP) which allows them onto the network for pre-arranged movements and testing prior to being officially route cleared for general use.
Once in normal service (status C) this paperwork and the Q headcodes are not required and the route clearance would be published in the sectional appendix.
However, some movements may still require NRSC paperwork and Q headcodes if they venture off the specific routes cleared in the sectional appendix for a type of loco or unit. I suspect the Q headcodes are still being used temporarily with the 93s until paperwork is updated to add the recently completed route clearance to the sectional appendix and so on.
Another example of Q headcodes is with the Railadventure power cars. If they are operating on routes where they are cleared in the sectional appendix, they usually run with Z headcodes. Sometimes they visit more exotic locations that aren't officially cleared for power cars in the sectional appendix, using NRSC paperwork which clears them for additional specified routes but may have special restrictions which the signaller / driver need to be aware of, such as being prohibited through a particular platform or subject to additional speed restrictions in certain places. When using this paperwork they run under a "Q" headcode, which draws attention to the need to check the route restrictions that may be in place (the Q headcode means "not to be diverted off booked route").
I would expect the 93s to have wide route clearance similar to other RA7 locos, but they might sometimes run with Q headcodes if they haul multiple units away from the normal routes the units are cleared for.
Yesterday's 5Q09 Derby RTC - Carlisle seen here with 93009 / 93008:
93009 & 93008 at Preston 16/03/26 | Channel: Aaron Roberts
Picture of today's 5Q02 Carlisle - Inverness passing Forteviot:
https://www.flickr.com/photos/152950454@N08/55153378968/ (Photo: Alan Mitchell)