The King had, in simple terms, asked the ladies to not show their faces before him from tomorrow onwards.
Therefore, how could Reina hold in her chuckle when she had witnessed him shooing them away in such a blunt manner?
She already disliked these two women so it was hard for her to hold her laughter in when she heard what the King expected from them.
Other men would have asked these beautiful ladies to spend more time with them but this King was surely different.
He would rather be holed up in his office, surrounded by his important documents than be wasting time being targeted by the schemes of these ladies.
Reina's assessment of the King was right as that was indeed what he hoped to achieve through this interaction.
Hence King Zander had no regrets after revealing what had been on his mind ever since he had that conversation with the Elders in the past.