Time.
It is an important factor. She needs to get used to it.
In an ideal world, she'd say "oh, that's fine, have a hug" and accept it. Just because she hasn't reacted the way you'd hoped, doesn't mean that she won't change her attitude eventually. She still loves you, it's just a big shock to her. I'm sure she will regret saying nasty things to you eventually and realise how rude and small-minded she has been.
Try not to get too sad about it, I'm sure your mum will change her attitude.
And LOL at the guy who seems to think that anon is one person!