MacBook Pro 2019 13' 1440p monitor support at high refresh rates

that appears to be a 2560 by 1440 display and High Dynamic Range (10 bits/color) with

I/O PORTS:

DisplayPort 1.4. x 1 (HBR3)

HDMI (v2.0). x 1

USB-C. x 1 (DP Alt Mode)

the last interface on that list is most interesting, because if you connect a USB-C cable that is capable of SuperSpeed PLUS or 10 G bits/sec or higher, and ONE meter or shorter, you don't need an adapter at all.

in addition, 2019 model Macs can also accept power from the display over that same USB-C interface to run and charge the Mac.

a DisplayPort (or DisplayPort over DP alt mode) connection tops out at about 200 Hz refresh rate.

if you insist on converting to HDMI 2.0, you get at most 100 Hz refresh rate before display quality must be compromised to fit in the bandwidth available.

EXACTLY what model display do you want to connect?

In general, the DisplayPort route can be more trouble-free, but cable lengths are limited to ONE meter,

charging cables do not generally have high speed data conductors. They can not carry data as fast and furious as required for a display.

"a USB-C cable that is capable of SuperSpeed PLUS or 10 G bits/sec or higher, and ONE meter or shorter, you don't need an adapter at all. "