Give your daughters difficult names.
This quote suggests that parents should give their daughters names that are unconventional or exotic. In doing so, parents and their daughters are carving out a unique path for themselves in society, by challenging the dominant, patriarchal culture. This rebellious act is rooted in the preservation of their own marginalized culture, a culture that people of color understand very well.
Give your daughters names that command the full use of tongue.
The speaker encourages parents to give their daughters names that are inconvenient for others to pronounce, for good reason. The inconvenience is meant to force others to work harder at pronouncing them - enough that they fully exercise their tongues. Furthermore, this experience commands their attention and respect as these names possess depth and strength (regarding cultural heritage). These names stimulate wonder within the mind.
My name makes you want to tell me the truth.
The speaker says her difficult name holds enough power to force others to speak without deceitfulness. Such a name suggests that she is so engrossed in the honesty and authority of her cultural identity that it "rubs off" on others. It further emphasizes her demand for respect as she only desires to be shaped by words of real significance.
My name doesn't allow me to trust anyone that cannot pronounce it right.
The speaker displays intense confidence in her difficult name, to the point of not wanting to surround herself with those incapable of pronouncing it accurately. She suggests that those who are capable comprehend the true beauty and resilience of her name. They display respect for her cultural and gender identity, which positively fuels her self-esteem.