You are suggested to use wc_stripe_payment_metadata
dedicated filter hook to add (pass) some custom meta data to Stripe gateway. Use this code in functions.php file of your active child theme
add_filter( 'wc_stripe_payment_metadata', 'stripe_payment_metadata_filter_callback', 10, 3 );
function stripe_payment_metadata_filter_callback( $metadata, $order, $prepared_source ) {
// Here below define your custom field meta key (as it's saved in wp_postmeta DB table)
$metadata = 'custom_meta_key';
$metadata[ __( 'Custom Label Text (or meta key)', 'woocommerce-gateway-stripe' ) ] = $order->get_meta($meta_key);
return $metadata;
}