Use the customer's details as the "From" information for "New Order" emails in WooCommerce.

customer-centric-from-details.php

function custom_use_customer_from_address ( $from_email, $obj ) {
	if ( is_a( $obj, 'WC_Email_New_Order' ) ) {
		$address_details = $obj->object->get_address( 'billing' );
		if ( isset( $address_details['email'] ) && '' != $address_details['email'] ) {
			$from_email = $address_details['email'];
		}
	}
	return $from_email;
}
add_filter( 'woocommerce_email_from_address', 'custom_use_customer_from_address', null, 2 );

function custom_use_customer_from_name ( $from_name, $obj ) {
	if ( is_a( $obj, 'WC_Email_New_Order' ) ) {
		$address_details = $obj->object->get_address( 'billing' );
		if ( isset( $address_details['first_name'] ) && '' != $address_details['first_name'] ) {
			$from_name = $address_details['first_name'];
		}
		if ( isset( $address_details['last_name'] ) && '' != $address_details['last_name'] ) {
			$from_name .= ' ' . $address_details['last_name'];
		}
	}
	return $from_name;
}
add_filter( 'woocommerce_email_from_name', 'custom_use_customer_from_name', null, 2 );