Are you looking to buy new wheels for this?
I have an old bike with similar dropouts at the back. I do use a quick release wheel in it and it is generally ok but if you put extreme force through the cranks, (say standing up on pedals on a hill) then the rear can slip out of alignment as I’ve not been able to fully tighten the QR down.
What is your rear width between the drop outs? For me this is an old frame that I’ve spread slightly to take a 135mm wheel. That is the root of the problem for me I think.
Overall day to day is fine though.
Converting you current wheel to QD is possible as Will said but probably not worth the palavar