Lalitha Sahasranamam can be chanted in two different ways. And how can a mother ignore her children when they are in distress or duress or troubles of any sorts? So keep utmost faith in her and start chanting. It is also to be noted that by religiously chanting Sree Lalitha Sahasra namavali, we are seeking the blessings of the universal mother. This is the reason why the ancient Gurus would instruct their desciples to chant Sree Lalitha Sahasra namam even after initiating them into the mantras of other deities such as Lord Krishna, Lord Rama and other Gods and Goddesses.
Because each of the nama in itself is complete to realize the vision of Devi. It does not matter if one could not complete it.