Look at ought to have a contact page. Websites ranging in space and class from your local restaurant to some Fortune 500 company, have contact pages.
When you are setting your contact page (and receiving the traffic volume on the local restaurant) you may not want to think about how to take care of your contact requests when traffic increases. However, you should.
Think about configuring automation that alerts support, sales or other stakeholders in your company when a communication request comes through. You could make a dropdown field in a questionnaire for types of contact requests. You possibly can setup logic generally in most marketing automation platforms that sends email alerts to the appropriate resource as part of your startup determined by the type of request the viewer selects.
I was buried with contact requests when we launched beta. As being a cloud-based product I saw many product support requests. And we all mapped form submissions on our contact page to create support tickets in Zendesk.
You need to put in place redundancies so contact requests (important ones!) don't explore a particular recipient's inbox. You are able to alert multiple recipients, create reminder emails, or trigger automatic replies to make contact with requests with information which may solve their problem.