I think you can put your pension on the fact she isn't chipped. Call it voice of experience or what you like but for every 100 cats we scan maybe 1 or 2 are chipped and only once in all my years of rescue have I/we found a lost chipped unneutered cat.
If an owner cares enough to get them chipped they get them snipped as well.
Scanning the poor mite is actually a small part in this equation and although not totally pointless the results of it aren't going to stun or overwhelm anyone methinks.
I would imagine your CP lady is only as human as the next person, and only has the same amount of hours in the day and wants to help all animals as much as the next animal welfare volunteer... but seeing a new mum and bubbies left to fend for themselves with nowhere to go and knowing there's not a blind thing you can do to help them because even your sock draw is stuffed with unwanted cats and kittens that aren't shifting as no one wants to adopt this time of years... well that kind of pressure has been known to send caring, dedicated people to the grave.
That is maybe what is worrying your CP lady... she scans the cat and then what??
She looks like a real, heartless
is she walks away, doesn't she?
If these bubbies are just new borns I'd be inclined to leave well alone at least for a couple of weeks and use those two weeks to come up with a plan. The last thing you want to do is upset mum and risk her abandoning them or even killing them because she feels under threat in her environment. When you have secured a space or a willing fosterer, then's the time to act. Go and trap mum and kits and chip present or no at least they have somewhere to go... until you do have a space, just leave food out for her. That'll help her a great deal and help get those bubbies off to a much better start of they get some decent grub in them.
Sad I know but them's the breaks, and it's got a whole lot worse for all other rescues since the country's biggest and highest funded animal welfare organisation stopped taking in unwanted/homeless pets. Everyone was stretched enough even before then but now it's getting biblical. You will see and hear about these situations more and more now... it's not because the rest of us stopped caring.