I don't necessarily agree with instilling too much compassion.
I think that it may be better to teach her to own her decisions, as in, don't just go along with the flow, but to actually think-out and make a real decision on things. Your daughter is in the process of entering a part of her life that will fundamentally change who she is in her adolescence. She'll be faced with the social pressures of maturing into adulthood along with the internal pressures of body changes. You need to teach her to truly think about the ramifications of her decisions, to understand that in many circumstances there's no choice with all-positive results, and to accept the bad along with the good when she decides. She needs to confidently own her decisions with education, with dating, with employment. That confidence will carry her a long way, much longer than simple compassion, or in teaching blind respect.
Remember, not everyone deserves the same respect, but the reasons that individuals may deserve more or less respect is based on the individual, not on any easy category that the individual has no control over. She should judge people, but she should judge them for things within their control, for their choices. Everyone should start out as a blank slate and through observation the level of respect is determined.
I don't think that the religious expression, "the meek shall inherit the Earth," is a good thing, I think it's a cautionary tale. The meek will get what's left over after everyone else that isn't meek is done with it. That means the scraps, the used up, worn out remains. She needs to not be meek, she needs to be strong, she needs to be assertive, she needs to figure out what she wants and to make it happen, and to make decisions when others are willing to just go with the flow. She needs to understand true Machiavellianism (ie, the understanding that there are times to come into direct conflict with others, even those in authority, but that there could be consequences or long-term ramifications for treading on such people) and that life simply isn't fair. What she wants she has to go get. The Universe owes her nothing, and will give her a raw deal (ie, the expected loss of her father) and that her life is what she makes of it.
Sorry if this is tough to hear, but I'm pretty sure that it's the truth. Life is what we make of it for ourselves. Our decisions at one point affect our options at other points, and we have to assert what we want if we're actually to get it.