Are you using the EOS Utility to download image files from the camera? Another method to download image files is to remove the card from the camera, and use a card reader with your computer.
It almost sounds like the camera is still connected when you are using the computer to delete files from the camera. I’m surprised that it would allow you to do that, so something else must be happening.
If you are not using a card reader, then you should disconnect the camera prior to deleting files in the camera or reformatting the memory card.
You certainly CAN delete files from the camera while it is connected to the computer. I do it. What's the surprise?
The memory card in the camera has always been “read only” from the computer. I suppose of the EOS Utility Launcher Service is stopped, then maybe you can R/W the memory card in the camera.
Unless the OP provides the details, it's all guess-work. We have no idea what software is being used to copy/sync the photos. We don't know the computer, OS, etc.
Did you not read the question?
”How can I delete pictures from my A530 without deleting them from the folders I made for those pictures.”
Like I said, disconnect the camera from the computer and reformat the memory card in the camera.
But, be sure to first confirm that the image files were safely copied to your computer. Once you reformat the memory card, they may be gone forever.
Can you see the images on the computer if the camera is not plugged in?
The only way this could happen is if you are seeing the file system on the camera, not the filesystem on the computer and you never actually downloaded the images. But I have never seen a Canon work this way.
12/05/2023: New firmware updates are available.
09/26/2023: New firmware updates are available.
08/18/2023: Canon EOS R5 C training series is released.
07/31/2023: New firmware updates are available.
05/18/2023: New firmware updates are available.
03/30/2023: New firmware updates are available.