"Absolutely not" answers the old lady.
"I am just an old lady looking after an orphanage in the last moments of her life and will not be training a deluded child like you" she states, strongly declining Lex's request to be trained by her.
"Just give me a skill or anything to train with" pleads Lex hoping to gain anything from her to increase his strength.
Her expression didn't change in the slightest and she didn't seem to care about his pleading.
"Well at least repay me with a skill for providing for your orphanage," said Lex, and while saying it had an insuppressible guilty expression that was obvious to her.
Lex didn't want to exploit her situation and was doing it out of the kindness of his heart and would still continue to provide for the orphanage if she declined, but was using it as his last resort.