Good morning! Hopefully I can help you out. I see this problem all the time for this old operator. There are a couple options, depending on what you want to do.
The first is probably the simplest, if not the most elegant. I have known some customers to use masking tape or even glue to keep the old handle in the operator. This is a reasonable solution if the window isn't used much, or if you need a repair ASAP.
If you want a more reliable solution, you could consider our
39-226 folding handle. This has a 5/16" pro drive hex, which I believe is the same as what you have now. However, this may not work if the hole in the operator is stripped out. In that case, you may want to consider replacing the whole setup with our
39-220 operator and
39-205 handle. Your exact style of operator actually isn't made anymore; manufacturers seem to be moving away from having "female" operators and "male" handles.
Let me know what you think of these recommendations, or if you have any other questions.