Anonymity or detailed reference are both fine.

Anonymity is important.

The donor requested anonymity.

Anonymity allows people to say anything.

When using this information, I will follow any conditions you specify, whether that's anonymity or giving detailed reference.

The government official spoke to the reporter on condition of anonymity.

The anonymity of the Internet often makes it easier for people to talk about personal issues.

Under the cloak of anonymity, cowards are acting like bigmouths.

Fadil sacrificed his anonymity.

Sami sacrificed his anonymity.