To Label Encode or One Hot Encode?

But it isn’t really one-hot encoding because for one of the genders, the value is always 0.

I understand that in stats that the column can be inferred, but my question is more about how different classifiers or models may interpret or misinterpret the value? From what I’ve read, it seems like they may infer that one is value is of greater importance because it is encoded with a higher integer.