![:P :P](./images/smilies/tongue.gif)
In my opinion, "Can I invade your personal space" is just informal language, not wrong when it's spoken. The "can/may" distinction is more important in formal speech or written English.
And you can too still use the old-fashioned word for a female canine without offense... but you'd better be at a kennel or a dog show or a vet's office at the time.
![:blink: :blink:](./images/smilies/blink.gif)