Thank you for your post. If I understand your issue properly, you want the label to appear on the left side of the feature you are labeling or do you want the text to be left-aligned instead of centred?
Additionally, what feature type are you labeling? Are you using area, line, or point features? I know there are different settings for each of the different types, or do you use all type of features with the MAP Tagger tool?
Let me know and I will see if what you are trying to do is possible or I will file a feature request for you.