When a person is faced with a situation where they must choose between two conflicting obligations, prioritizing can be a complex and nuanced decision. Several factors can guide the decision-making process:

1. **Moral or Ethical Duty**: Consider the ethical implications of both obligations. Which choice aligns more closely with fundamental moral principles (such as honesty, fairness, or respect for others)?

2. **Consequences**: Assess the potential outcomes of each action. Which decision will result in less harm or greater benefit to the most people involved? You might want to weigh the short-term vs. long-term consequences as well.

3. **Personal Values**: Reflect on your core values and priorities in life. For example, if one obligation involves supporting your family and the other involves helping a colleague, but your family’s well-being is more directly at risk, that could guide your decision.

4. **Urgency and Time Sensitivity**: Some obligations may be more time-sensitive than others. If one choice has a hard deadline or immediate consequences, that might necessitate prioritizing it.

5. **Impact on Relationships**: Consider the impact of your decision on your relationships with the people involved. Is one obligation more likely to damage trust or strain a relationship in the long term?

6. **Legal or Contractual Obligations**: In some cases, one of the obligations may be legally binding or have contractual consequences, which might make it more urgent to fulfill.

7. **Seeking Compromise**: In some situations, it might be possible to negotiate with the involved parties or find a way to partially fulfill both obligations, even if full resolution isn’t possible.

If these options still don’t lead to a clear choice, it may also be worth consulting with a trusted advisor or seeking additional perspectives to help clarify your decision. Ultimately, the choice will depend on the specific details of the conflict and your judgment of the moral, emotional, and practical considerations involved.