1yo refused to drink water

You are definitely not alone in this, so many of us have gone through the same battle at this age. Since the constipation is already bothering her, it might be good to bring her to see the PD just to get some guidance on how to keep things moving comfortably while you work on the water issue. In the meantime, you can try offering water-rich foods like watermelon or cucumber to sneak in some hydration, and some mums find that just leaving a small cup within reach during playtime helps the child get curious and try on their own terms. Keep going, you are doing a great job trying so many different ways for her.