She would not need to take you to Court for financial support she will need to get the CSA involved. Although I am quite anti the CSA, in this case, I would suggest you pay NOTHING until the CSA contact you. Because you are not on the birth certificate, unless you admit parentage (and given that you seem to know nothing about this until such time as the baby was born, I would do so) they cannot force you to pay without DNA evidence, which they can arrange, but you will have to pay for.
If it turns out that the child is yours, then the CSA will assess your financial contribution. If you want any contact with the child, unfortunately, you will have to apply to the Court for contact.