Hey ^^ Just started playing Scholar on my main, and beat t13 with it yesterday

Some things to remember:
Manual Control of your fairy can be nice, but selene for example can do just as well left alone on sic.
Adlo your tank before a pull, try to get a critical, it helps!
Eye for an eye. Use this at the start of a pull, and then again when you know large damage is coming in. (T10 adlo, stoneskin and eye for eye, with a pretimed physick can mean the tanks health wont move for critical rip.)

DPS:
Play a fight your first couple of times through just healing. As you do this, you will find gaps in your activity where you can fit in dps.
In that situation, bio II, miasma II and bio.
If you have an adlo on your tank before switching to do dps, you'll have plenty of time to cleric stance, fit that rotation, and maybe even throw in a shadowflare before having to switch back to healing.
Rouse. Use it when you know a lot of AoE damage is incoming. Get a succor up before the AoE, press rouse, focus on your tank and let your fairy heal up the other party members.

These are the main things i can remember at the moment. Hope they help!