I've been vegan for almost a year now and I cannot tell you how much of a difference it has made in my health. I have suffered from IBS since I was very little, and found through an elimination diet that dairy and meat were the two biggest causes of my intestinal problems (that and alcohol, booooo!). I also suffered with acne all though my teenage years, and eliminating meat and dairy has completely cleared my skin up.
If you do any research into factory farming, you will find that animals are full of antibiotics, and these can have all sorts of effects on us when we eat them or their byproducts. This is particularly true for women.
There are some things that you will miss initially. Cheese was a big one for me, and ice cream remains a challenge. You will find alternatives (usually that are much healthier - maybe yogurt and fruit instead of ice cream, for example) and quite quickly find that you don't miss them at all. As a girl who was raised surrounded by cheese and meat, I would've thought that becoming vegan would be impossible for me, but it has actually been exciting and fun to completely change the way I eat (not to mention more humane and eco-friendly!).