But judgement is not being passed by objectively saying something is or isn't a sin, a judgement is more like a guilty or not guilty verdict in a trial and passing down a punishment, stating that something is a sin is more like presenting evidence.
For example I can determine that you've committed murder if you explicitly tell me you have. If I say you've sinned, at that point I'm simply stating facts, no judgement has occurred.
In fact I think that's the whole point, not having to judge someone even when they are sinning allows you to love them.
We could go into Paul's admonition against mixing god's laws with secular laws and the very common idea of everyone's relationship with god is different and how god's plan for them has lead them right where they should be on their path and blah blah blah, but it would further confuse the issue. There shouldn't even BE an issue, especially when it comes to someone outside of your congregation (those are the only people you ARE supposed to judge to a certain extent, and kick 'em to the curb if necessary). When it comes to the wider society in which you live, you are not part of god's jury. You're not even in the jury pool. As a matter of fact, the laws are most likely very different for the other person, but you cannot know that. What is a "sin" to you may be perfectly natural to me, while that which is perfectly natural, right and even holy to you is, in one HUGE aspect (if you are a Christian), a red flag about your lack of honor as a person to me. Who's right?
I'll tell you who's right. It doesn't matter. Let's examine WHY it doesn't matter.
We both go to the grocery store today. You happily zip through the produce department and suddenly we are face to face. You don't recognize me from church, and if you look at my jewelry you can clearly see I am not of the same faith as you. If you are wearing a cross, I know instantly you are not the same faith as me. My jewelry tells you that I am "sinning" and your jewelry tells me that you hang out with people with very bad orlog and therefore most likely have it yourself. Do you point at me and yell "sinner" as I call you a "nithing"? No. Absolutely not. At least I hope not.
Your deity tells you to leave "those others" to him and his judgment. You have to put your faith and trust in your god that he did not put a very dangerous woman between you and those 4/$1 avocados. My own path tells me that you are your deeds and I am to start with you, as an individual, on neutral ground until you tell me with your behavior exactly what kind of worth you and the deity you represent have. As a matter of fact, if you need help I am supposed to help you because you are another person and I don't know who you are as a spiritual being or where you are on your path. There is a certain standard of behavior expected of me when dealing with others and there is a certain standard of behavior expected of you when dealing with others. The biggest problem for you is that I know your standards given to you by your own deity but you don't know mine. So really, what do you do?
I really hope you don't call me a "sinner" in any way, shape or form even if I meet that definition in your faith path. We all meet that definition in the Abrahamic faiths, so you're one as well. There are a ton of things you could do/wear/say that would tell me you are anything from an Oathbreaker (just as bad as a murderer) to your standard lazy person (frownie face! Industriousness is one of the NNV!). But telling you that is not my job, understanding the rules are different for you and treating you fairly and treating you exactly as you treat me IS my job. We come from very different places spiritually, but the end result is the same. "If you can't say/do anything nice, don't say/do anything at all".
Now, from a practical standpoint: what you should do is exactly what your deity told you to do - leave the judging of me and my "weird" jewelry to him. Remember that you speak for your deity with your behavior. You're an earthly ambassador. If you don't follow his instructions to you about how to treat others, you are telling me that deity and his instructions have very little, if any, worth to you. That gives them even less worth to me. Is that the message you want to send? That's the message that has been being received for decades now, all because for some bizarre reason, despite all instruction to his people to the contrary, there are actually packs of people who wear the same symbol that you do who kick their deity's words to them to the side and do things like sue the federal government for the legal right to treat certain categories of "sinners" worse than the average Satanist would. That's pretty much the exact opposite of "love", it is absolutely the wrong message to send and I'm willing to bet is why your deity tells you to "leave those others" to him and his judgment in the first place.