Now that banks aren't paying useful interest rates they are mostly only tolerable for security and convenient access to your money. If they can't do those two then... what exactly are they for? Likely nothing.
Be extra careful with your details associated with that account and anything it touches. eg any direct debits might "change" without notice. Enable all added security you can.
But realistically, there's no silver bullets. Refinancing can be expensive. Cost/benefit applies: Might not be worth refinancing just for this. Just be vigilent about the accounts involved.
I had a phone company that bragged about its security. So I tested them out. Yup they sent my password via text. Ok then. Contract was for six months. Not worth switching. But also not worth renewing.
Now that banks aren't paying useful interest rates they are mostly only tolerable for security and convenient access to your money. If they can't do those two then... what exactly are they for? Likely nothing.