I think the best thing you can do for your friend is neutralize any snarkiness (if she says something kinda off putting about your diet or appearance, just diffuse it) and stay solid on your program. If you don't play into catty remarks, things would spiral downward. If you keep losing, she will see you are serious and not going to fall back into unhealthy eating and living.
She probably isn't ready to lose weight, or hasn't faced her reality head on, so she longs for the days you were bigger and she could "blend in" better, or when you ate like she does and she didn't have to feel guilt. I've been there!
I feel for her, I hope she is ready to make a change or accept herself soon.
Good luck on your journey, keep going!
I don't want to be a know it all--but since you asked!
Don't discuss your weightloss at all with anyone. That's what we are here for! You are setting yourself up for drama if you do. Over time and as you journey, you will absolutely find other women more in line with your new way of thinking. As you shrink, get ready for even more drama with said friend.
I had a friend that is similar to the one you mention. Know what happened once I refused to continue the "lifestyle" with her? Our friendship went to the wayside. Not once, did I EVER throw my weightloss in her face but when we went to the mall and to lunch it was fairly evident I meant business about my lifestyle change. She couldn't handle it in the end--and my health and self esteem couldn't ride along side her anymore.
I do agree, lead by example, not by explanation. People ask me a lot about my diet plan and I can tell it's kinda masochistic on their part...I shouldn't oblige that.