Mrs, I've always used my Visa, but according to their website they accept a fair few other payment methods as well:
'Which payment methods can I use on AliExpress?
On our app you can use the following payment methods:
Visa, MasterCard, Maestro, American Express, Alipay Balance, QIWI, Boleto, bancontact, iDeal, Przelewy24, SMS Payment in Russia(MTC, MegaFon, Beeline, TELE2) and AliExpress Pocket.
On our website (PC) you can use the following payment methods:
Visa, MasterCard, Maestro, American Express, Wire Transfer, Webmoney, Yandex.Money, Western Union, QIWI, DOKU, Mercado Pago, Boleto, bancontact, TEF, iDeal, Giropay, Sofort Banking, Carte Bancaire (Carte Blue), Przelewy24, SMS Payment in Russia (MTC, MegaFon, Beeline, TELE2), Cash Payment (Euroset, Syvaony, Russian Post), and AliExpress Pocket'
They also have their own buyer protection scheme (no personal experience with this).