For now, the solution is to tilt the cord slightly downward (or upward, depending on your perspective) as the port is just sliiiiightly more flush with the opening. My advice is to get used to doing this. A broken charger port is really a PITA, so taking an extra 2 seconds to plug it in is the prudent choice. My dad gave me a lot of good advice when I was growing up, and one of the gems turns out to be "don't force things."
As mentioned, once we get some wireless charging back covers on a more accessible basis, we'll all just use wireless charging and never plug in again. Except in the car.