She has a right to be mad at her father. Who used her to
cover up his own affairs. He made her lie as a child to
her mother and say they were having father/daughter time
while he was screwing everyone.

In Season 2 Addison told Archer that when she was 10 her
father left her in his office and he slept so he could
screw the secretary. Then made Addison lie and say they
went out for ice cream.

Addison’s resent to her father is understandable. Considering
he did not care enough to come to see about Archer when
he was dying. I don’t blame Addison for judging why he was there.
She has every reason not to trust him.

According to the promo, next week, Addison father is
sleeping with Violet. Guess Addison was right.