Aww that's is so horrible! Mother's rejection is pretty harsh but it depends on how old you are, because your age determines the different ways of reacting towards the situation. Obviously though you will be distraught no matter what but when you're over 25 say, you can live your life without your parents and you can learn to adapt quicker, though it'll still hurt.
As adults in this society though, we are taught to be independant and not dependant so we don't rely on our parents for everything. So if you do then you'd have difficulties moving on regardless. But there's never really a 'way' to deal with this kind of situation, sure it's hurtful and can be damaging to your childhood or adolescence but moving on would be the best thing you can ever do.
You can't wake up and swap mother's but you can convince yourself that because your mother has rejected you, it clearly means that she hold's no love for you and encourage yourself to do the same. Sounds harsh and it's not easy but I believe it to be right... No point in wasting your precious time thinking about people who wouldn't gibe the time of day for you. They're not worth it, she might be your mother and you might think she's worth it but if you give in and show your weakness then they'll never see the damage they've done. If you walk away bravely it may make them realise the mistake they're making? Who knows?
Anybody in this situation though might be best going to some counselling because this can be very damaging...a mother is everything to a child, no matter how old you are it's VERY hurtful to have your mother reject you. Some people end up depressed and then a life full of problems follow afterwards, so it's not a minor thing but the main thing to remember is that you will get through it, people do, its possible because you just have to see it in a positive light. Obviously that's hard to do at the time but after when you've had a think and rested for a bit, you can start planning your life ahead because you don't need that negativity in your life.
Purge. Purge out that negative vibes, get rid of her, because she has done the same to you. Yes try and contact her first and see what the deal is, show that you care and make her realise how much you love her despite her decisions and then randomly without saying a word, just purge her out your life and move on. Of course at first you'll pretend to smile and pretend to be happy but afterwards you'll truly learn how to be happy and that's possible too.
Good luck if you're in this situation and if you are then I wish I could do more to help. 8(