It didn’t/ doesn’t take 14 billion years for the light from the BB to reach us. We (the material that became us) came into existence inside the BB … in the middle of an infinite space. The light from the BB started hitting us immediately, from all directions. It has been hitting us ever since. The light that is hitting now has been traveling for 14 billion years. It comes from a distance that used to be a lot closer, but is now 46 billion light-years away.

(Much simplified, but I hope not too misleading.)