I was commenting on your other post as well (BTW, just to clarify, they don't need a male to be gravid, only to be pregnant; their ovulation process/cycle is actually quite similar to a woman's, just like when a woman gets her period, except we shed our eggs out and they aren't shelled, they have to lay theirs and they're shelled, other than that it's basically the same process)...
You didn't happen to take a photo of this poop did you? It's not an "egg yolk", as if an egg ruptures inside them it is usually fatal (they develop peritonitis) and she'd be black-bearding and very, gravely ill right now.
What is her regular daily diet? As far as the frequency of her poops, it's not unusual at all for them to change how often they go, some dragons go every single day like clockwork, some every other day, some only once a week, some once every 10 days to 2 weeks. I don't get alarmed unless 10 days goes by without a poop, then there may be a slight impaction, but otherwise it's completely normal.
So if she's going more often and it's runnier, this is actually another sign that she may be gravid, so it really does sound like she's going to lay at least one clutch of eggs (they usually don't just lay one clutch by the way, usually they lay multiple clutches when gravid, which is why I told you on the other post to make sure that she is getting plenty of food, water, calcium, and multivitamins). They need to keep their weight up, stay very
hydrated, and be replacing the calcium that their body is using to make the egg shells.
I'm going to assume that she's going more often because she is in fact gravid. As far as the "thick, yellow-colored snot-like stuff" in her bowel movement, that's why I asked what her diet is, but I'm guessing that it's just the typical runny poops that both reptiles and birds have when they are gravid.