The black woman runs usually because she is poor. No one forces her to do so. It is the same reason Asian, Russian, and other Europeans etc women all run to the Western world. Poverty is not lack of protection, but it is suffering in a way. And as you can see, it happens with Asians, blacks, Russians, even other European women. It's nothing to do with black men, just poverty, same as the Phillipines, China, Bulgaria, etc. I notice the Asians, Russian women, etc do not conflate this with a "lack of protection", only the likes of you, Ethiopian. This implies you are just a black man hater.
There's no problem with single motherhood across the world. And in fact no problem with black men or women in most of the world, except when you make a problem. There is nothing to fix and when I go back to my home country, I don't see anyone fixing to do anything. Produce your statistics otherwise.