The board ___________ publish the name of a person filing a complaint.

In this context, the most appropriate choice emphasizes that the board has discretion regarding the disclosure of the identity of an individual who files a complaint. The phrase "may not" indicates that there are potential legal or procedural reasons that protect the confidentiality of the complainant. This aligns with many regulatory bodies that aim to encourage individuals to report issues without fear of repercussion or exposure.

Confidentiality in such matters is crucial to protect the complainant from possible backlash and to promote an environment where individuals feel safe to voice concerns. This practice can strengthen the integrity of the complaint process by ensuring that individuals are not deterred from reporting violations due to fear of being identified. In contrast, the other choices suggest a level of obligation or certainty about publishing names, which does not align with the generally protective nature of complaint handling procedures in many regulatory frameworks.