If it is a Chapter 11 there could be a silver lining. Kate would be forced to come up with a plan to pay the creditors. That would demonstrate income and fiscal responsibility. I'm not sure what the point of a Chapter 7 would be. Essentially, the company would be liquidated and the proceeds, if any, would be paid to creditors.
As I posted the other day, there is no discharge of debt in a corporate bankruptcy so if the creditors aren't paid in full from the liquidation they would still be able to collect from QEDN if it tries to do anything post bankruptcy.
It's too bad Kate is staying silent after she stated a bankruptcy was coming.