Hmmm.. Difficult one this.
If it's only a small training organisation I suppose they are up against it - especially as the poor weather has curtailed so much flying.
Maybe you have to turn the question around and ask whether you would have been happy to have your flying/skills test put on hold because the CFI was processing a licence application?
Hope it's all sorted for you soon Ds3 - if it's any comfort, I am near Cambridge & it's raining cats & dogs here at the moment. Every silver lining has a cloud?