Unfortunately this is a common problem with neocate. Elemental or hydrolysed formulas don't taste good so many babies refuse them. It is also important to know that about 50% of babies that react to dairy react to soy also, and that neither soy or goats based milk/formulas are good for babies under 12 months. While many GPs will recommend them, many paediatricians who specialise in allergies and infant feeding strongly advise against using them and there are many research studies to back this up.

So the question is what can you do. Firstly, are you sure she reacts to dairy? You can't test for dairy intolerance or allergy in a young baby as the tests nearly always come back positive (see this article - Australian Breastfeeding Association - Lactose intolerance and the breastfed baby). Also lactose intolerance in babies is nearly unheard of. If your baby was lactose intolerant at 6 weeks she would not have tolerated any quantity of breast milk or formula and would have been hospitalised. So given that your little one has since reacted to gluten, it might be that gluten is the only issue, not dairy at all - although of course it could still be both. The very best thing to do is to see a paediatric allergist or dietician who specialises in this area and work out properly exactly what the problem foods are. Otherwise you could be un-necessarily cutting things out.

In the meantime, if you want to persist with the neocate until you know more about the problem, it might be a matter of persisting. I think I have read of mums mixing some maple syrup in to help their babies drink it - this is probably not an ideal solution but would be better than a starving baby I guess. Other than that, I would ask your GP or paed about it, they are sure to have encountered this before and might have some tips.

All the best hun, this is a difficult situation for you