I'm just curious because I don't really understand how these things are ranked, but why is breaking Shabbat worse? You're allowed to break Shabbat under certain circumstances such as to save a person's life, but I don't think you're ever allowed, under any circumstances, to commit homosexual acts. So how is that worse?
Since you ask, and there are many jews reading..
The Torah mentions capital punishment for certain sins.. It requires a temple and sanhedrin, and there are other criteria to make it more of a deterrent against it.. But it does show the severity of the crime. Breaking Shabbat is one of those sins.
male gay sex is called an abomination, and has capital punishment..
But female-female sex isn't mentioned as forbidden in the written torah. G-d doesn't call it an abomination..
It's certainly not in line with torah philosophy of Adam and Eve..
(I think there is a debate in gemara about whether a certain lesbian act is forbidden. It's not an abomination )
Not like shabbat.. And not like male gay sex.
There is a bigger sin here that is being debated.
The sin of Chillul Hashem..
a sin in public, however small the sin may be , is a chillul hashem.
There are magnitudes of it though.
It's because when goyim see a jew committing a sin.. Especially if the jew is religious or very outward in calling himself jewish..then it's worse. Like a fraud reform rabbi sinning obviously. There are even fraud lesbian reform rabbis That is a HUGE chillul hashem. And these people do it very intentionally.
It's terrible because it shames the chosen people, and thus the G-d that chose us, by making him look ridiculous or weak. It makes people doubt the fact that G-d chose us. Which means people are doubting G-d's plan or even doubting G-d himself.
ps:
I wrote this paragraph, not sure where it would fit in. . I'll just put it here
"breaking shabbat" to save a life, is not a sin. It's a mitzva. So it doesn't mean that the sin of breaking shabbat isn't so bad..
Infact, if there was a practical case where one could save a life by having gay sex, then that would be a mitzva too!
(there are some really serious sins that a jew should die(or fight I suppose) rather than commit, are idolatry adultery and murder.. and chillul hashem - any sin in public).