Long story short - stance (form) is the key to good board control is the key to kite control is the key to handling more wind.
Start here -
www.iksurfmag.com/issue5/?t=Stance-2007-Kitesurfing-Technique&page=49Then trim the kite to ensure that you can ride with good form without being yanked off your edge. Easy

Short story long . . . kiting is all about trim

Dealing with the power of a kite requires
board skills. No really! (And I'm shocked nobody has yet said "I remember when kite bars had 3 inches of throw and we had to use the board to handle gusts" . . . or 2-line kites!)
I want to geek a bit and moan about when people talk about the trim system and the state of your lines as "over-powered". It's not a depower system, it's a TRIM system; you should be tuning your kite for optimal Lift/Drag performance, not thinking you've made the kite "less powerful". Your lines are out of spec or untuned, ruining the trim of the kite - not over-powering it. You're not depowering the kite, you're sheeting out and altering the Angle of Attack, to adjust the trim for optimal L/D. . . .
We're talking about the same thing, but words like "depower" give a false impression (especially of safety) . . . ask a pilot what he does with the control stick - he won't talk about "powering" the plane. We're doing the same thing with the bar.
First step,
make sure your kite is trimmed correctly (which is more important than many realize); at the VERY LEAST (1) ensure your lines are the right relative lengths: most kites these days require the bar to be against the CL and the lines to be equal at the pigtails. Do this a couple of times a season under you get a feel for how much your steering lines shrink (NOT center lines stretch

)
Then (2) trim the kite on the beach when you launch . . . a little more tricky and not something I believe I've learnt well. Essentially, the kite should be altering it's Angle of Attack (what you actually do by sheeting the bar in and out - NOT powering/depowering the kite!!!) without distorting the tips when you sheet in.
And remember, as Uncle Plummet has said - if you have to trim the kite to cope with the wind strength, get a smaller kite

Next, kite and board selection, it's all relative to weight and preferences . . . I'm fat and will often fly kites that are 100% or bigger than other people - I'm lazy, hate working kites, just like to park, ride and BOOST.
At your weight, as a beginner, select your kite & board on the day, for the recommended wind ranges by the manufacturer (then tune as you feel it needs to be. That feeling will change over time too

)
So you're kiting with good power under a properly trimmed kite and . . . omg! a gust!
Use the board, Luke!
Last point is, board control. Edging hard against the kite drives the kite ahead, to the edge of the window where - do you remember? - the wind is actually weaker. You'll also go upwind at a higher angle so you'll feel less power in the kite and go slower! Get the kite down lower too, below 45 degrees so you can lean back against the kite and drive your heels into the water.
Sounds counter-intuitive, but try it out one day when you've got good water under you, distance from shore and other kiters. Concentrate on not moving the bar (easy if you're all trimmed right), then just lean back and edge hard. Watch the kite and feel what happens to your speed . . .
Now, why NOT just sheet out and luff the kite? Control. If you're balanced on the board (trimmed the board properly - OMG trim again!) and have good form, you won't loose your angle upwind, you'll have the kite under control, and you'll be riding under control, consistently. And then you'll have a margin of error for when things really go to hell . . .
To review . . .
trim system - not depower.
sheet in/out - not depower.
Tune your lines!
Tune your kite!

Choose the right gear for the wind strength.
Stance.
Use the board!
Control!