When it entered Edward's mouth, he did not even have the ability to swallow.
Hence, Jeanne took a sip of warm water and kissed him on the lips. Then, bit by bit, she sent the water into his mouth.
She did not send it too quickly because she was afraid that he would choke when he could not swallow properly.
In his current condition, he was likely to choke to death.
She fed the water into his mouth, bit by bit, and then stuck out her tongue to touch the pill that had begun to melt. The bitter taste was obvious on the tip of her tongue. With that, she moved the pill down his throat with the tip of her tongue before withdrawing it to take another sip of warm water and feed the water down his throat.
His body swallowed instinctively.
Jeanne used her tongue to make sure that he had swallowed the medicine before leaving his lips.
After that, she used the same method to feed Edward the next few pills.