Passage
[the] oath which he swore to Abraham our father,
[the] oath which he swore to Abraham our father,
Luke 1:71 deliverance from our enemies and out of the hand of all who hate us;
Luke 1:72 to fulfil mercy with our fathers and remember his holy covenant,
Luke 1:73 [the] oath which he swore to Abraham our father,
Luke 1:74 to give us, that, saved out of the hand of our enemies, we should serve him without fear
Luke 1:75 in piety and righteousness before him all our days.
The verse centers on "oath", "swore", "abraham", and "father". It is saying that the verse draws attention to "oath" and "swore", so its meaning should be read from those terms before moving to application.
The nearby context moves from verse 72's "to fulfil mercy with our fathers and..." into verse 74's "to give us that saved out of...", so "oath" and "swore" belong inside that flow. In Luke context, the local focus is Christ, faith, and discipleship.
A plain takeaway is to answer the verse's own emphasis on "oath" and "swore" with trust shaped by these words, not by a vague optimism outside the passage.