From MN 115:
– ‘Aṭṭhānametaṃ anavakāso yaṃ itthī arahaṃ assa sammāsambuddho, netaṃ ṭhānaṃ vijjatī’ti pajānāti; ‘ṭhānañca kho etaṃ vijjati yaṃ puriso arahaṃ assa sammāsambuddho, ṭhānametaṃ vijjatī’ti pajānāti. ‘Aṭṭhānametaṃ anavakāso yaṃ itthī rājā assa cakkavattī, netaṃ ṭhānaṃ vijjatī’ti pajānāti; ‘ṭhānañca kho etaṃ vijjati yaṃ puriso rājā assa cakkavattī, ṭhānametaṃ vijjatī’ti pajānāti. ‘Aṭṭhānametaṃ anavakāso yaṃ itthī sakkattaṃ kareyya … mārattaṃ kareyya … brahmattaṃ kareyya, netaṃ ṭhānaṃ vijjatī’ti pajānāti; ‘ṭhānañca kho etaṃ vijjati yaṃ puriso sakkattaṃ kareyya … mārattaṃ kareyya … brahmattaṃ kareyya, ṭhānametaṃ vijjatī’ti pajānāti.
Not possible for a female to be a Sammasambuddha, only a male can be a Sammasambuddha. Similarly for cakkavattī emperor (who would rule the whole of the Earth from time-to-time), Sakka (King of Devas), Mara Devaputta, and a brahma.
Except for the brahmas, all others are from kama loka. It is quite clear that a female would not be able to become any of those within that lifetime. That does not mean a woman in the current life cannot become a Buddha or any of the above in the future. In fact, I think when our Bodhisattva started the paramita process, he was a woman in that life.
The statement about the brahma is a bit confusing, since there are no female brahmas. It may just mean that a woman has to attain the “male qualities” to become a brahma. For example, a female cultivating jhana in this life, would acquire “male qualities” at that point. That just means the mindset has been elevated, not a sex change. Even if it is an anariya jhana, one would keep that “elevated mindset” until that kammic energy is exhausted at the death of that brahma.
Regarding the questions:
1)What is meant by “purisa gati”. Is it the personality traits (mental traits) of a male?
-it is an “elevated mindset”. It appears to be easier for a “conventional purisa” or a man to attain.
If the other questions do not have satisfactory answers above, we can discuss more. Furthermore, others may have more ideas or a better interpretation.