Congratulations on successfully breastfeeding your baby! It's hard work and you should be proud you are giving such a priceless gift to your daughter!
The clicking sound you hear is your baby repeatedly breaking suction, not a good thing. It would be a wonderful idea to have your local LLL leader evaluate your latch and position. They can guide you much better than anyone can over the computer, especially in latch/position issues when they can actually see the mom and baby in person.
Have you tried making a nipple sandwich (I know ... weird name )? To get a correct latch tickle your baby's lips with your nipple. Then you wait until he/she opens wide. Then you smoosh down your areola (the dark area surrounding your nipple), this will make it fit easier and help baby take in more of your breast. Your areola should hit your baby's bottom lip first, then the top lip. Your baby should have more areola on the bottom in their mouth than on the top (so baby's bottom lip is farther away from the nipple than the top lip). You should find this makes nursing much more comfortable for you. Essentially you are shaping the nipple to get more breast tissue into your baby’s mouth.
Some really great info on this clicking problem can be found here:
My baby makes a clicking sound when nursing.
Is this a problem?
I've heard it's not a good idea to push their chin and/or lip down to try and get a better latch. A good resource site, kellymom.com, says this:
Latching: Thoughts on pushing baby's chin down when latching
When it comes to pushing down on baby's chin to get a wider latch, sometimes it works but often it doesn't... Many a baby will naturally resist the downward pressure and close his mouth further if you push down on his chin.
I've been told that occupational and physical therapists learn that if you "force" a muscle to go the way you want it to, it will tend to go the opposite way. So if baby is clenching his jaw, it can be helpful to do the opposite of what you want him to do - gently push baby's jaw closed (before nursing, of course!) then quickly remove your finger to allow him to open his mouth. You might try doing this several times before nursing.
If you do try pushing down on baby's chin, use a very gentle pressure back and down (more like simply resting your finger in the "notch" between baby's lower lip and chin). Do this after baby is already latched on to widen the latch a bit. If baby resists this, then stop and try something else.
Here are some more really helpful pages on latching correctly ...
Latching and Positioning Resources
LLL's The Mother-Baby Dance:
Positioning and Latch-On
Good luck and keep us posted on how you guys are doing!!