Hi Muming
I understand your frustration at the lack of sleep. That's really tough!
I think in the greater scheme of things, 2 is still a fairly young age to wean (I mean for babies/toddlers to wean themselves) so it's not really that strange. I also think when they're that determined, maybe it is something they really need still, you know - not that you can't try to cut back a bit for your own sake!

She's old enough now to understand if you tell her things like 'Milk sleeps duing the night, we feed during the day'
Also, you can try getting your DH to take care of her overnight for a few days - that can help break the habit.

Be prepared though - she will resist but you may find though that the worst of it is over very quickly. Just be there (or your DH) to offer comfort some other way. If you've decided to cut a feed out or stop altogether then gather yourself first, ensure there's nothing going on with your DD like teething or illness that will make it extra hard on her and stick to your plan.

We night weaned DS at 14 months. DH looked after him for a couple of nights - DS was fine, since this was a lovely novelty at first. But, then he started getting upset and demanding mummy. For 4-5 nights I took over from DH about halfway through the night and would give DS a feed, but pushed that feed later and later. By the 5th night it was around 4am and I resolved not to feed him any earlier than that. I told him milk was sleeping during the night - he HATED to hear that. Probably the 2nd night of this was the worst,then it got better and better. After 2 weeks from teh start of this he stopped asking altogether.

All the best~