The author says: وَلَا يَدْخُلُهُ الْهَاءُ.
Translation: And it must not admit the feminine hāʾ.
In this classical terminology, hāʾ refers to the feminine ending commonly written as tāʾ marbūṭa (ة). It is part of the author’s second test, so the first letter alone cannot determine the ruling.