Henry Russell was very angry that Charlotte Cooper hadn't told him about her role being stolen by Riri Kojima. As a man, he didn't even know that his woman was being bullied. Moreover, when he offered to find a new drama for Charlotte, she declined. This made Henry feel that his status as her husband was fragile since it seemed like she never really needed him.
That's why Henry had refused to accompany Charlotte earlier as a form of retaliation against her.
However, things were now different. The culprit behind bullying his woman was here, trying to flirt with him. Since Henry had been drinking, he might get entangled with this woman, so he decided to have Charlotte come and "protect" him.
When Charlotte received the call, she was confused. After all, it was Henry who didn't want her to follow him earlier and now he was asking her to come out.