In this scenario, the opponent of nuclear energy is likely to counter the proponent's points regarding the benefits of nuclear energy by highlighting its drawbacks.
The most compelling pair of key points that the opponent could use against nuclear energy would be:
"There is no safe place or method to store nuclear waste." "Nuclear energy creates waste that remains dangerously radioactive for thousands of years."
These points effectively address the long-term risks and environmental concerns associated with nuclear energy, focusing on the management of hazardous waste, which aligns with common criticisms against nuclear power.