Dear, First of all I think that to get out of a problem is to know how to recognize it. Many situations of risk can arise in the kite and I always thought that the best solution is to become mentally aware beforehand and become aware of safety in sports.
Knowing what can happen and planning the best output, gives you a clearer picture when things happen.
When the situation is critical, I think that evaluating the damage to the equipment is secondary, first there is the physical integrity and then everything else.
I think that as you have raised the issue the option to take in your case is knife. First by the emergency and the consequences that can happen, then because you yourself have considered the physical damage to your hands. I mean, if you considered it, I think it was serious. So, what's more, your health or kite?
In seconds everything can change, the best in the world, I'm about to say goodbye to this world ...
then the measures have to be quick and at the lowest cost ... to your health, of course