A full UK “new” state pension - presently £168.60 per week, or £730.60 a month (847.50€ at today’s exchange rate) will not be sufficient to meet the income threshold for an EU national living alone which is 903,20 € per month.
£168.60 per week is enough to meet half the income needed for a couple and it is possible to wind up with a little more than £168 depending on personal circumstances so Kurt’s friend might be OK if she intends to live with him and their finances are viewed as a couple - Kurt didn’t say how close the relationship is so I don’t know if this is what is planned.