Well, I admit that junk food’s unhealthy. However, people have a right to make healthy or unhealthy choices.

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Is this sentence acceptable?
Can we use 'healthy choice' or 'unhealthy choice' as in the sentence?

These sentences are perfectly acceptable. You could also say, "However, people have a right to make unhealthy choices." Either way, it means the same.

Does "to make healthy or unhealthy choices" mean "choices about healthy food or unhealthy food"?

Yes.

Yes, the sentence is acceptable and the phrases "healthy choice" and "unhealthy choice" can be used in the sentence. The sentence is expressing the idea that although junk food is known to be unhealthy, individuals should still have the freedom to decide whether to make healthy or unhealthy choices in their diet.

If you're unsure about the acceptability of a sentence or specific phrases, it's always helpful to consider the context and intended meaning. In this case, the sentence is discussing people's freedom to choose what they eat, which makes the use of "healthy choice" and "unhealthy choice" appropriate.