It is hard to tell whether you could make the fan's 2-pin female connector fit over the first two pins of the mobo 4-pin header. But MAYBE.
On the 4-pin SYS_FAN header of your mobo, there is a plastic finger sticking up beside PIns 1-3, and Pin 4 is beyond the "finger" space. Pin #1 is always Ground, and normally the fan has a BLACK wire for that. Pin #2 is the power supply, and the fan's wire for this is normally RED. You do not need to connect anything from the fan to header Pins 3 or 4. If you cannot make the existing connector fit, then you will need to replace its connector with a spare from a regular 3- or 4-pin fan as suggested above. Just make sure the fan's BLACK wire goes to connector Pin #1 (actually, a hole since this is female), and the RED goes to Pin #2.
HOWEVER, you shuld be aware of a likely limit of your mobo. On it the SYS_FAN header is a 4-pin type. BUT this does NOT guarantee it is using the new 4-pin PWM Mode. In fact, the manual for the mobo suggests this header does NO speed control at all! On p. 16 the labels for his header show +12 VDC on Pin #2, indiating it is constant and not varying as a 3-pin fan header would do. Then it shows Pin #4 as "Reserve", suggesting ot is NOT used for anything. Normally if this were a new 4-pin PWM header, this pin would be labelled as PWM. Then if we look at p. 37 where the configuration of the CPU_FAN and SYS_FAN headers is detailed, there is NO information about options for the SYS_FAN header. It appears you have NO options to set, and that is further indication that the header makes NO attempt to control its fan's speed. No doubt any fan connected there WILL operate, but it is very liekly it will always run full speed.