back up contact

Hi, I don't know whether any of u have same problem as me.
I have my mother's Lumia 920. I forgot her primary email password (and she is too), which gave me a headache. I can't download/update apps, back-up contacts.
I have tried to recover her email password but still no luck as it requires to match every single fields.
I plan to hard reset the device and change with her new email, but what about the contacts?
Does anyone can help me how to back-up her contacts maybe using software on PC?

Is there a way to save it to the SIM?

it just says import from SIM

Have you tryed recovering the password on laptop or desktop?

Her contacts are backed up to the old account so I would try to work with that. Sorry I can't be more helpful.