Applying deferment after offered admission for second time
If you have already been offered the position and it isn't contingent on the training, then just accept. You may miss "the training" for now, but that doesn't close you off from learning the material later. 

There is no guarantee that the first university will ever get the job done and you have little influence and no control over that. 

Note, I'm assuming here that you are the recipient of the training, not the trainer who is being depended on by others.