For minutes all what Integra did was survey Alucard's every reaction, greatly disappointed by his response and disgusted by her lashing out in such manner. That was certainly uncalled for. Alucard didn't do anything wrong. If he failed and was defeated was because she had been an inefficient master. Sir Islands would scold and demand her to take responsibility and it was time for her to mature.
“I failed you,” she said in shame, sheathing her sword and turning her head. Her right hand fished a cigar; it was wet by the rain and she had no fire to light it. Regardless of this, she stuffed it into her mouth, anxiously chewing the end of it. A way to cope. That was what this was. “Perhaps one day you would address the title Master to me and I would feel as if I earn it,” she continued, very seriously. “You could pretend to protect me and to listen, Alucard. However, as long you do not acknowledge the order to return with me together to London, I could never be your real Master.”
This place… as absurd it sounded could be a test ground for her make amends and become rightfully his Master once more.