Thank you for your post. From looking at your site, it appears you have the Shopify Inbox app installed. Shopify Inbox is a free messaging app that you can use to communicate with your customers, and it can increase conversions. Using the app, you can either chat in real time or use email to follow up when you can’t talk to customers live, which may be a good option for you.
Additionally, I recommend checking out this help document which goes over the ways you can customize Shopify Inbox to work better for you. For example, you can set your customer’s response time expectations with automated first reply messages informing them of the hours when you’ll be responding.
If you did want to remove the chat feature from your store, you can go about it one of two ways. First, within the app’s settings, you can make the chat not visible on your store (this is a great option if you may want to re-enable it in the future):