Hello Piotr,
You mentioned the Cypress CYW43012. Murata supports a module with this chipset (link below). If you are using their module perhaps, they may be able to provide more help.
https://wireless.murata.com/products/rf-modules-1/wi-fi-bluetooth-for-nxp-i-mx.html
The i.MXRT USDHC module supports the SDIO standard so that shouldn’t be a problem. There are some examples with Cypress chips on the i.MXRT1170 SDK. For the Murata uSD-M.2 there is the wiced_iperf_4343W_cm7 example. However, please read the included readme carefully as there are Hardware considerations.
There is a guide for an Embedded Artist board i.MX1060 that is helpful to see more details on the SDK examples, albeit this board is manufactured and supported by Embedded Artist and based on the i.MXRT1160, but it may be useful as a general reference.
https://www.embeddedartists.com/wp-content/uploads/2019/01/Getting-Started-with-M2-modules-and-iMX-R...
I hope that this information helps.
Regards,
Gustavo