Will my mother still get her VA aid with the government shut down?

So far, this should be okay. Much depends on what happens today. What we have now is a partial government shutdown and "entitlements" are still being paid. Let's hope a deal is made today so millions of people like your mom won't have to worry.
Take care,
Carol

I would make no assumptions either way, but be prepared to take care of your own without any additional assistance coming your way.