I assume you are using a 3s battery.
The kV of a motor has no bearing on the power it can produce only the speed it will try to run at. Put too big a prop on
any motor and it will simply over heat and fail that is assuming the ESC does not blow up first!
So without knowing the spec of the motor and/or the amps it is using (measured with a watt meter) it is impossible to say if you are short of power.
If you can measure the full power Watts figure then there are power to weight guide lines. For something like a Corsair you would need at least 100W/lb. So for 1300g (2.86 lb) you need something approaching 300 W or about 28 A from a 3 s battery.
At 1300 g all up your Corsair is not exactly a 'light weight' so it is likely to fly quite fast and a 10 x 4.5 is a fairly fine pitch prop which will simply run out of thrust as the speed increases. A 9 x 6 prop will use about the same power but is likely to be a better match for the motor and the plane. If that does not help then you will need a motor that can handle 300W from a 3s with a suitable prop.
As an example the 9 x 6 on an Emax 2822 1200 kV motor draws 17 A which is 175 W on a 3s (I have just measured it). However this is plenty for the plane, a 'stand off' scale Mustang about the size of your Corsair, as it only weighs 342 g or in other words it has 220 W/lb available at full power!
I can only repeat wherever there is a question concerning power a Watt meter is a vital piece of kit. It tells you exactly what is happening which not only gives you the power going to the motor but provided you know the specs of everything it also tells you if you are about to over load something expensive. Watt meters are not that expensive. You may have to solder on the connectors on it to match your battery and ESC.
I hope this helps.