The current version of Event Espresso is 4.10.0.p, please update to the latest version.
Latest WP is 5.2.2, so I also advise you update to the latest version of WP.
Does the current Mollie Payment integration with EE4 support Apple pay?
The EE Mollie payment method uses Mollie checkout, meaning your user directed to their servers and shown a checkout page. Mollie has control over that page so its pretty much up to them if it displays.
However, they do support Apple pay and to enable it you must:
1) The payment method credit card must be enabled on your website profile;
2) You must enable Apple Pay on your website profile in the Dashboard.