Yes. That's the stuff you want.
The purpose of the concentrated calcium is undermined by diluting the tablet in water. She needs the entire tablet all at once.
I understand the stress of dealing with an uncooperative patient. Believe me, the few chickens of mine that seem to hate me are the ones most likely to become patients in need of my help. This is a proven corollary - because they hate to be handled, they are the least handled so if they have a health issue, it's usually late in the illness or injury that they get noticed.
To deal with a chicken that is willing to fight to the death rather than let me treat her, I wrap her securely in a large towel to immobilize wings and feet. Those appendages are what an angry chicken uses to try to free herself. For one real spit fire, I add an ACE bandage wrapped around the towel so she's as good as encased in a strait jacket.
This usually takes all the fight out of her, and I then unceremoniously pry open her beak and shove the pill inside. Done! Chickens have zero problem swallowing large pills. If you need to know why it's so easy for them when it's hard for us humans, it's because we have teeth and they don't. We need to chew what we eat to get the digestive process started. Chickens don't. Their digestive process begins after they swallow.