at 5 weeks old they are much too young to be rehomed yet, they should be at least 8 weeks before they leave their mother, for health and socialisation purposes. Perhaps you could let her know this in the politest way possible.

The worst thing you could do is to buy a pup because you feel sorry for it, I know how difficult this would be but its better than heart break further down the line if thing go wrong, as the above post said perhaps you would be better off with an older dog or a smaller breed or to wait untill you are in a better position to have a dog as you said you have a fiew time and location problems at the moment. Just think long and hard so you make the right decision. I wish you luck