If she paid off and settle the parking fine issue, then that would give her time to get her credit file updated. Mortgage lenders will see it and take it into account, possibly offer a higher interest rate, but she’ll probably still get an offer.
Where as the renting issue, she wouldn’t have had time to get that sorted immediately as it can take 30 days minimum for your credit file to be updated, and she was pushed for time on her being an independent boss queen and moving out at short notice, but failed.
She also needs to take into account that a lot of houses (around my area in manchester anyway) are going for more than the asking price, because people are putting in offers over due to demand etc.