CrazyIvan2

That looks like a hard job, even for a skilled worker.
 
First, what's the access like, it looks like it's down a hole.  Can the area be disassembled for free access?
 
The next thing is that electrical solder is very soft and we don't rely on it for mechanical strength – that's a sprung contact so when mated the solder joint will be under stress.  I'm sure the original part retained the contacts in the plastic moulding, and it has now broken out.  That wouldn't stop me trying to make a repair (nothing to lose by trying), but I would also be trying to source a replacement connector.
 
Don't be tempted to glue the contact in before soldering, the heat of soldering can break down the glue and release toxic fumes in the process (eg superglue releases cyanide when heated).