Nameless

Nameless, also known as unnamed, unnominal, nonnominal, nullnominal, or anominal is a form of name non-conformance or transnominalism in which one identifies with no names or does not feel connected to any name.

Nameless individuals may go by a name in some situations because it is socially expected, but they do not identify with that name.

Namelessness is not necessarily the same as being undecided on a name. Some individuals may identify as nameless while they are deciding on a permanent name, but other nameless individuals do not perceive their namelessness as temporary.

A similar term that describes someone who does not identify with any pronouns is pronounless.