Meaning of a “cheap person”
According to this page @ dictionary.reference.com, there are two possible meanings for using “cheap” to describe a person:
5.
embarrassed; sheepish: He felt cheap about his mistake.8.
stingy; miserly: He’s too cheap to buy his own brother a cup of coffee.
Before I found that page I was only thinking of “cheap person” to be a variation of “cheapskate” but now I have a feeling that the translator of the manga page used “cheap person” to imply that the person is sheepish, to explain why she escaped.
EDIT:
If you scroll down that page, there is an additional meaning, right under “World English Dictionary”:
8.
informal mean; despicable: a cheap liar
So, “cheap person” can mean “despicable person” as well.