Hello UnderGrace,
Below is the actual scripture:
"But understand this: In the last days terrible times will come. For men will be lovers of themselves, lovers of money, boastful, arrogant, abusive, disobedient to their parents, ungrateful, unholy, unloving, unforgiving, slanderous, without self-control, brutal, without love of good, traitorous, reckless, conceited, lovers of pleasure rather than lovers of God, having a form of godliness but denying its power. Turn away from such as these!"
They (men) are the kind who worm their way into households and take captive vulnerable women weighed down with sins and led astray by various passions, "they, the men" always learning but never able to come to a knowledge of the truth.
So, it is men who worm their way into households and take captive vulnerable women. It does not say that such women are forever following new teachings, but is referring to the men.
The "They" in the second paragraph must refer back to those identified to those "men" who will be lovers of themselves. These "men" are the kind that worm their way into households and captivate vulnerable women weighed down with sins.
In short, the context is aimed at the men who will be lovers of themselves and who worm their way into vulnerable women's homes.