The phrase "always anxious about" is correct and usable in written English.
It can be used when expressing a constant state of worry or concern regarding a specific subject or situation.
Example: "She is always anxious about her upcoming exams, fearing she might not perform well."
Alternatives: "constantly worried about" or "perpetually concerned about".
Then he leaves presents, and children are always anxious about what kind.
Some part of me is always anxious about the fetish-making that goes on here".
They were always anxious about where the hungry monster would appear next.
I'm always anxious about grand arguments that invoke the public interest only for one side of Fleet Street.
But my father – nearly always anxious about his writing – was worried that he wouldn't be able to write another novel.
Even though he was wealthy enough to send his two kids to private school, he was always anxious about his status.
When you live in the city and you're always anxious and fearful about this and that, you want a place where you don't worry about anything".
Discussions with my partners on the subject contained a certain friction, as people are always anxious and suspicious about issues that involve change, money, and trust.
This suited both parties, I think, for all that I slightly dreaded these holidays (granny's snoring was as loud as Krakatoa, and she was registered blind, which meant that, though she was determined that this would make no difference whatsoever to her life, I was always anxious when she set about frying fish fingers in an unfamiliar kitchen).
"Senior military figures who were always doubtful about action in Iraq and its aftermath are becoming increasingly anxious about... the risks involved," he said.
He does recover very quickly and the thing about Dirk is that he is always anxious to get back on the football field," said Hodgson.
