Such drama. Sesshoumaru wants to use her company to take over Father's company. She is the little flirt letting Inuyasha hold her hand and touch her.
(I always felt Inuyasha had a right to complain about the way K let Kouga fondle her and accept his declarations of love) She laid down the law to him.
He does need to tell her how he is feeling. Inuyasha certainly is not bashful in doing that. Kagome wants Sess, but she wants him to speak his mind. She has
been open to him. He needs to open up.