Nipple compression happens when the latch is shallow and the nipple is squashed up against the hard palate (if the latch is deep enough the nipple will be at the juncture of the hard and soft palate - nearly all the way to the back of the throat).
Exaggerated latch (aka the 'Flipple' latch) can help get a baby to draw more of the nipple/areola into their mouth.
There is a good animation here but the website is in Russian so don't think your computer has crashed!
Has your LC explained the things to look for so you can recognise/feel a good latch?
If she hasn't then what you are looking for is:-
position is comfortable for you (not hunched over or twisted - baby to the breast not breast to baby),
if there is an discomfort/pain it is only at the very start of the feed not continuing for the duration of the feed,
nipple aimed more to the roof of the mouth not straight down the throat,
baby's chin is touching the breast and the nose is clear,
baby's body is well supported and in a straight line (this may be different if you are doing biological nurturing feeding),
baby's lower lip is curled down (upper lip not so important),
soft and rounded cheeks (not sucked in),
more areola is visible above baby's mouth than below (your OH might help with this),
there is visible swallowing and pausing (baby might do a fast 'suck, suck, suck, suck, pause' to start with to get the letdown but then move on to a 'suck, pause' or 'suck, suck, pause' type of rhythm - each pause is a mouthful of milk),
baby stays attached and doesn't slip off or need reattaching,
baby comes of the nipple on their own (this might not always happen as some babies like to hang out and snooze/nibble/snooze esp. in the evening or cluster feeding but baby shouldn't be removed because feed has been X mins long),
your nipple still looks nipple shaped at the end of the feed (it may be elongated esp. if you have flat/inverted nipples normally) but it shouldn't be lipstick, wedge shaped or have a ridge running around it) it should also be a normal flesh tone not blanched (whiten/pale/bloodless looking) or bruised looking - if it is a warm breast pad/cloth can be held over the nipple until the bloodflow improves and the pain subsides.
Hope I haven't upset you by posting something you already know but if you don't I hope it helps.