Her starting weight and height should be fine. There is rule my grandmother had, where your weight had to be height - 100 (which means toddlers shouldn't weight anything I guess). I also checked her BMI, and she is supposed to alright. Even leaning towards being overweight a little.
That said, the way she gains height and weight is not ideal. These stats are affected by her age, maxhp, agi, str and a a item bonus, which increases depending on the food you eat (milk or meat type food give you bigger bonus than vegetables). Wellness doesn't affect it directly, but the stats you gain from it do. Mutations also affect your weight and height.
I will be changing the way these stats are calculated for sure, since wellness and working out don't affect it yet.
By the way, maximum height you can get is 230cm and weight is 95kg.
As for the abomination fear, what you are suggesting is in the game, but I didn't update the tutorial messages to reflect that. Raise your morality and the abomination penalty will decrease and even turn into a bonus.