Women: Jesus' ministry was financially supported by women. Jesus explicitly did not condemn the woman caught in adultery like the Pharisees did although he did not condone her conduct, either. Jesus taught to women (e.g. Mary, Martha's sister) while the rabbis forbid it; one rabbi said he would rather burn the Torah than teach to a woman, and the Torah was so sacred that they put old unusable Torah scrolls in the walls of the synagogue rather than the trash. A woman dealing in purple cloth hosted one of the early churches (and probably led it after Paul left). A woman is mentioned with the title apostle.
Homosexuality: nowhere does the Bible hate homosexuals. It says that it is a harmful behavior and is not to be tolerated in God's people because it leads to death. It is not "hate" to consider someone's behavior unhealthy, or even to disapprove of someone's behavior. We don't "hate" thieves because we disapprove of thievery. In fact, most people hate thievery and think it is so harmful to society that it should be repressed, but it does not mean we must hate thieves. American LGBTQetc seem to require love to look like complete acceptance and consider anything else as "intolerance", but that is a false dichotomy.