The subject is ME (ΕΓΩ, because of λερώνω). There is absolutely no indication that the subject is male or female.
Μπλούζα is the object. It is female, however it has nothing to do with the gender of the subject (εγώ).
εαυτός (self) is always masculine, regardless of the physical gender of the person speaking (subject).
So even if you know for sure that a female is speaking, the phrase should still state “τον εαυτό μου” (masculine).