@ haydee - hi again , The nutritional benefits of limes do not differ very much from those of lemons. They are both excellent sources of vitamin C, B6, potassium, folic acid, flavonoids and the outstanding phytochemical, limonene.
so noproblem u can have any of it.
@tony- scientifically there is no harm in mixing fruits with milk, rather they are an example of mutual supplementation, where in fruits high in vitamins and mineral are supplemented with the calcium and protein of milk, to provide a balanced nutritious drink !! though the combination of some particular fruits with milk is not really supported by some alternative medicine streams , like Ayurveda, bt scientifically no harm !!