In the accusative you’d say мою бабушку:
• Я жду мою бабушку дома.
Alternatively, Russian often prefers the reflexive possessive свой when the possessor is the subject:
• Я жду свою бабушку дома.
жду is present tense of the imperfective verb ждать, indicating an ongoing or habitual action.
To express future:
• Use perfective подождать for a one-time wait: Я подожду бабушку дома (“I will wait for grandmother at home”).
• Or use future imperfective for continuous action: Я буду ждать бабушку дома (“I will be waiting for grandmother at home”).
As the adverb “at home,” дома is stressed on the second syllable: [domá].
The plural noun “houses” is also spelled дома but stressed on the first syllable: [dóma]. Context and stress distinguish them.