This is a unique opportunity to give these two lesser galaxies better names. The nearer one could be the "Lesser Magellanic Nebula". The far one could be the "Cryptic Magellanic Nebula". Then the LMC gets "Greater Magellanic Nebula". Andromeda may stay Andromeda, unless the San people in Botswana have a name for it that we could pronounce.
People living in the southern hemisphere for lo so many millennia knew they were there all along, before Magellan drifted past. Just "Greater Southern Nebula" etc. instead? Maybe ask the San about those too. Or the Yaghan in Tierra Del Fuego. Or Australian aboriginals. All deserve reparations.