Standing up for all “oppressed groups” is contradictory. For example, in western countries, LGBT people are an oppressed group, and so are Muslims, yet when the latter are in power, they treat the former very badly, so which side do you stand up for

Easy. The answer is that you stand up for the oppressed group.

Why, exactly, do you think that’s a contradiction? When a group is in power, they are by definition not oppressed.

In all of your examples - all of them - there are oppressors in power, and there are oppressed that are not.

As generalized groups,

• LGBT people are not in power over Muslims.
• Transgender women are not in power over cisgender women.
• Palestinians are not in power over Israel.

In case it really needs to be said - obviously, not all Muslims, cisgender women, or Israelis are oppressors. But all Palestinians and most LGBT people are oppressed.

Palestinians are not “the Muslim world” and painting such a massive and diverse group as a monolith is disingenious at best. The same should be said for associating all Jewish people with the actions of Israel - it’s fundamentally wrong.

The answer remains the same, in any and every case. You stand up for the oppressed group.

Doing so is the only way you stand for:

a society in which anyone is allowed to live their life as long as they aren’t harming anyone else.