Okay, fine. Hugs are meaningful. But still, it really depends on the person doing the hugging. I have friends (guy friends) who real-hug everybody. Everybody. Male. Female. Vulcan. There is no Jew nor Greek, slave nor free. That's just how they roll.
I have other friends (guy friends) who will never real-hug any woman they are not related to, other than their wives.
Do I have thoughts on this? Maybe.
Maybe, if you pressed me (ha), I might start talking about the unhealthy sexualization of any and all physical contact. This happens in the church and elsewhere. [Full disclosure: I attended a discipleship program in which side-hugs were THE RULE between guys and girls].
As a side note, there's nothing quite like going in for a hug, only to have the guy draw back in terror, to make you an awkward hugger.
You're wondering whether the side hug was a "Thanks, but no thanks." Maybe. My gut says yes, but I could be wrong. Maybe this person wants to save real hugs for marriage. Who knows.
The tip-off for me is whether or not they initiated the hug. If it were me, I would rather avoid hugging altogether than go in for a side hug. All or nothing, baby.
"A man offering a side hug to a woman"
I say sidestep him. Then tackle him in a bear hug. Oh, you want to know what it means? No clue. Why don't you ask him.
"A guy asked me out church awkward"
Was he awkward or was the asking out at church awkward? Were beads of sweat rolling down his forehead? Did he preface it with, "I know you only see me as a brother in Christ, but..."? Did he storm the stage, grab the microphone from the pastor and ask you out right then and there? Did he ask you out on a date to church (now that's awkward)?
Was it cute awkward or socially awkward awkward? I dunno, I'm kind of impressed with this guy for asking you out. I say go out for coffee, then if you're not feeling it, make it a point to side hug him at the end. He'll know what's up.
"Good Christian guy" label
"Good Christian guy" is in quotation marks for a reason you have rightfully ascertained: it's basically a cop out.
It's patronizing. It's BS. It's patronizing BS.
It's tantamount to being a nice guy, as in, "He's a nice guy, but..."
Instead of calling someone a "good Christian guy," why not refer to him as "the most generous person I know," or "my best friend," or "the bomb diggity at ultimate frisbee."
So much better.
"How to drag girls to have sex on fb"
Please don't be a real person, please don't be a real person, please don't be a real person...
That's it, folks. May you real-hug a member of the opposite sex with pure or impure motives, and may it mean as much or as little as you want it to mean. And may no one ever refer to you as a "good Christian guy." Good luck. May the hugs be ever in your favor.
More hugging advice here.