Hinduism accepts Eunuchs,Transvestite, Homosexuality,Lesbianism.Bisexuality as Natural.
Ardhanareswara, Lord Krishna marrying Irvana,Arjuna becoming Bruhannala,Mandhafha being born of a Man,Chanda -Chamundi ,Bhagavathi,
Yellamma, the Birth of Lord Ayyapa.Lord Muruga are indicative of what is now termed as Normal Sexual Behavior.
In most cases it is explained that one takes the Form of he other sex,like Bruhannala, or Lord Krishna becomes a woman .
All said and done there is evidence that Hinduism did not treat this a s Deviant Behavior, it was not condescending towards them nor were they extended special privileges.
These were not ostracized by the society,nor were they looked upon condescendingly.
Rigveda says regarding Samsara that Vikruti Evam Prakriti (perversity/diversity is what nature is all about, or, what seems un-natural is also natural), which some scholars believe recognizes the cyclical constancy of homosexual/transsexual dimensions of human life, like all forms of universal diversities. People of a third gender (tritiya-prakriti), not fully men nor women, are mentioned here and there throughout Hindu texts such as the Puranas but are not specifically defined. In general they are portrayed as effeminate men, often cowardly, and with no desire for women. Modern readers often draw parallels between these and modern stereotypes of lesbian, gay, bisexual and transgender sexual identities.
However some Smritis censure them,like Manu, though ot severely.
They took part in all Vedic activities , they were not prohibited from Religious or Spiritual activity.
However the Vishnu Puran says hat the Eunuchs should not be present when one is performing Sradha.
So, Hinduism does not treat LGBT as Deviants, not dos it treat them with special privileges.
Such is the greatness of Hinduism it accepts Nature as it is without delivering Value judgements on what is essentially a natural Phenomenon