Best practice advice is to NEVER conduct any business via internet UNLESS you instigate it YOURSELF. There are too many scams around to trust anything, unless you are completely in charge.
Sometimes we do lose focus and only think afterwards. I'm sure you will be OK as you haven't given out any passwords but be sure to advise your card provider and bank etc. as you seem to have done.
Stating the obvious, but nevertheless something that does catch many people out. Never click on any link in an email. No reputable institution will ever require you to do so. Banks, PAYPAL, Ebay - all of those will, if there is an issue, advise you to logon to your account independently i.e. not through the email or text. My mum's sage telephone advice was "If it's that important they will call again".
I would however advise you change your email address fairly quickly. This can be a real pain as we tend to forget how many daily things rely on it. Banking, Ebay, Amazon, cards, etc....
There are good reasons for doing so. Too many to detail here but possession of your email and name etc. can lead to severe annoyance and inconvenience and possibly a blocked account anyway, which if you can't restore it can be real bad news.
For example it can be used as a spoofed From address and used as a spam generator. Last year for example my retired school principal who organises regular coffee mornings but insists in lumping all the recipients for his emails in the TO address line for his emails instead of BCC had major issues. Multiple recipients received a very convincing email "from him" to say he had been mugged in the Phillipines and needed £2500 to get home etc...Many of the recipients are quite elderly and inexperienced and were upset and tempted to help. Fortunately I managed to email them all and told them to disregard it.
I also had my own email account compromised last year and blocked when someone used my account address to generate large quantities of spam. Probably my address was gleaned along with many others by a virus harvesting from a contacts address book. I was fortunately able to restore the account and the problem was resolved but it doesn't always end that happily.
Your simplest way is to get another address and redirect your current one to it for now so you will not be immediately inconvenienced. You can then gradually but quickly work your way through your Bank, Ebay, Amazon, card etc. contacts (and of course Z4 forum !) and change to the new address. You can email your friends with your new address (BCC!) and advise to remove your old one. Shouldn't take that long and you will be a lot happier and feel more secure. Of course as soon as you have sorted everything remove your old account.
You should be OK. The bonus is you realised. Many don't.
Best wishes.