dilemma
A hard choice where both options have real problems.
A dilemma is a difficult situation where you must choose between two options, and neither one is clearly better or worse than the other. It captures that stuck feeling when both choices have real drawbacks.
Imagine your two best friends are having separate birthday parties on the same day. Going to one means disappointing the other. That's a dilemma. Or suppose you find a wallet full of cash with no identification: keeping it feels wrong, but you have no way to return it to its owner. Both options create problems.
A dilemma is different from a simple hard choice. Deciding whether to practice piano or play outside might be difficult, but one choice isn't necessarily going to hurt someone or create a real problem. In a true dilemma, both paths forward have genuine costs or consequences that matter.
People often say they're in a dilemma or facing a dilemma. Sometimes the best approach is to look for a creative third option you hadn't considered, like talking to both friends about combining their parties. But often, solving a dilemma means accepting that you can't make everyone happy, carefully thinking through the consequences of each choice, and then making the best decision you can with the information you have.