Wind is important to me so mine is as high as I can put it. Here is a post where I compare wind readings at different height/locations.
The higher you put it the faster your wind will measure and the easier your pole will break in a storm.
If it is only 2 meters above the surrounding objects it will get some turbulent rotors and what I do is take the gust value of the turbulent rotor and imagine that is the upper winds pushing down for a moment. Then I assume that gust reading is a similar speed to the actual wind 10m up.
And I then fly up in that wind with my paraglider and I glide in both directions, into wind and down wind and I calculate the average speed which is the actual wind speed.
And I like my temperature reading to be of the wind rather than of what is trapped in different parts of my garden which varies greatly.
So it is your choice what is important to you.
cheers Ian 