Answer: False
Step-by-step explanation:
This isn’t considered an argument as either party hasn’t exactly disagreed on the subject at hand.
We can deduce from the exchange that the second speaker (who left with another man) hasn’t exactly doubted if the first speaker will die of happiness or not, she obviously just seems not concerned.
If she had disagreed with the first speaker on whether he will die of happiness or not, then this might have qualified as an argument.