My aunt has invited me to her place _____ three o’clock this afternoon _____ tea.

My aunt has invited me to her place _____ three o’clock this afternoon _____ tea.

Explanation

We use preposition at before clock. Like at 7 o' clock, at 9 o'clock, at 4 o' clock.

We use preposition for to tell a reason. (Here tea is the reason of invitation) 

My aunt has invited me to her place at three o’clock this afternoon for tea.