Carol is a realist.  She's good at what she does, but she's not a DRT operative, either.  She doesn't really work with them so much as work in the same room as them sometimes.  When you take away all of her delusions of grandeur and ignore the propaganda, it's clear to see:

Carol is a killer.  She kills things that need killing, and she's satisfied with that.

But you can't just kill for a living.  Even Carol needs to know teamwork, and Timothy's power is a force-multiplier, not a lone wolf's power.  So he needs to learn things that Carol can't teach.  Fortunately, she has an old* acquaintance who might be to point her in the right direction.

Good afternoon, Abel!

It's been a while.  How've you been?

I recently picked up a partner!  He's even stuck with me for longer than a month, I know you're shocked by that.  He knows how to shoot, and we're doing powers training, but I want to make sure he's actually ready to go in the field.  Is there any chance that you can loan me an operative for a little while to give him a rounded education?

Talk to you soon,

Carol McCleery

*she met this man six months ago