Both male or female electrical connectors have a little tab that act to keep them in their housing.  Need to bend them to straight to be able to pull them out.  It is always in the middle, right at the plastic bottom.  Once you have done it a few times, it's a piece of cake.  You can't pull on the wire when you are trying to bend the tab, only after.  Sometimes it takes several tries.  As always, you need patience.  

I use a very thin screw driver like tool I made out of one by grinding it narrower  and more flat.  It needs to be strong enough.  I broke it once already in action.  Yet, as you know, we are dealing with thin and soft copper.  

When you need to reinstall, you would have to bend the tab back so it would hook the plastic to prevent it from coming out again.  

Zoltan