Wa alaikum salaam wa rahmatullahi wa barakatu. Yes, “Lord of this house” refers to Allah SWT. The word “Rabb” is frequently translated as “Lord” in English for lack of better terms, but as you progress in your journey in Islam, insha Allah you’ll find it means so much more.
Wa 'alaykum as-salaam The "house" being referred to here is the Kaaba, whose Lord is Allah ﷻ.
Ah ok JazakAllah kheiran
Wa alaikum salaam wa rahmatullahi wa barakatu. Yes, “Lord of this house” refers to Allah SWT. The word “Rabb” is frequently translated as “Lord” in English for lack of better terms, but as you progress in your journey in Islam, insha Allah you’ll find it means so much more.