You can't appeal an IVA, but the IP can adjourn the meeting for up to 2 weeks to find out why creditors voted against the deal and come up with a compromise (similar to what cat_1 said). If that doesn't work, then yes, you can apply for another IVA straight away, but if the first deal was rejected, why would the creditors accept it a second time if your circumstances havent changed ?
If you attempt to do another IVA and leave MBNA out of it, then when they find out about it they could go to Court and have the whole thing overturned on the basis of prejudice against them. No IP will thank you for doing that.
I belive that MBNA's rejection criteria are where a debtor could pay their debts off under a DMP in under 10 years with interest stopped and no charges (CCCS don't charge clients for DMPs, creditors pay them), so as you were offering 40p in the pound, what that must have meant is that the IVA fees would have taken over 10% of the contributions (perfectly OK), but you would have fallen into MBNA;s "Under 10 years" rule.