Thanks for your question. However, I can't provide a clear answer here.
In general, the English courts will not give a remedy against and individual director in relation to a breach of contract by a company. However, there are limited circumstances where the courts will "pierce the veil" of incorporation to find a remedy. See:
On the other hand, the original contract might not be the only route to a claim. Depending upon the exact nature of the communications between you and the customer, it may be that they can ground an argument for liability in some other way.
A lawyer would need to know all the details to advise on this.