I just want to add the comment that rats will take food from you and stash it, this isn't due to lack of trust, it's just basic instinct. It's the way my girls eat. They will snatch food from their dish and run to a corner of the cage to eat it. Sometimes they will park next to each other in the same corner and eat, but they will very rarely eat out of the dish.
Fuzzy Rat would eat at the table with us and she would eat right from our plates, but mostly she would grab food run to the back of the table and eat there. After she snatched a whole pork chop and dragged it across my wife's new table cloth I glass topped the table. The wife has a clean table cloth and the rats can drag food around it without making a mess. Oddly the only rat we ever had that ate directly from the plate was out part wild rat. She just parked herself next to the dish and ate, and she was most likely the least trusting of any rat we've ever owned. Not that she didn't trust us, but it wasn't actually in her nature.
As to girl rats, some can cuddle, some don't. Max actually slept with me in bed from two weeks old to about 6 weeks old, then she jumped off the bed one night and moved into a metal storage cabinet... she's practically never snuggled since. She will mug us for food, and ask to be picked up and taken places and will ransack my desk while I'm sitting right there and use me as an elevator, she will stand still for skritches but she looks like a teenager when mom or dad tries to hug him in public when we try to give her a hug. And as to hanging out on us, that's just not her thing. She will come out to play on the floor with my daughter and myself, but doesn't hang around for the lovin afterwards. Both of our girl rats will groom us and actually ask to be handled, they steal treats, they are friendly and loving, but not snugglers... It's just the way some girls are....
Our late rat Amelia was very reclusive, I don't think we ever spent more than a few minutes snuggling at any time in her life, but when she went into congestive heart failure, she spent the last six days of her life attached to us, she panicked if we put her down and drove herself into seizures. And yes, that meant 6 days without sleep. I always assumed that she never bonded properly with us as she was adopted as a neglected 7 month old rat. But in the last days it became absolutely clear that all she wanted was to be held and cared for by the humans she loved... so why didn't she snuggle with us all her life? I haven't a clue. Maybe she was afraid she might overstay her welcome and get rejected? Or maybe she thought we were too busy for her... who knows what rats are thinking sometimes...
Fuzzy Rat was our only snuggley girl, but she would only snuggle after we took her out to the park or the soccer field and she would run around and burn off all of that extra energy... She could run full speed for about 45 minutes then she would collapse in my lap and nap a while... otherwise she was way to busy exploring, shredding papers or building nests to just hang out with us. Util she burned off all of that excess energy she just couldn't stop her feet from moving.
Best luck