There are several ways to play and achieve the same goal. But for now, the only way to increase dominance points is by groping her ass. And you can only achieve this by gaining trust points (which can be gained in several ways, such as untying her, or challenging her to let go and just watching). But you can follow these: first day, go all the way tying her up (+1 dominance) then either challenge or untie her. Either of these will give you +1 affection, this should get you to 14 relationship iirc. next time touch her legs, make excuse and go all way to groping butt. you'll get +1 dominance, -1 affection next time she'll be pissed off, try to tie her up to trigger the outburst and she'll cool down you need to get relationship back to 14+ so making excuse works again: tie her up as usual and challenge or untie her for affection gain now you can touch legs, make excuse and grope butt again. she'll be pissed off again, that's a turn wasted now you can tie her up again, and have domination at 7. you can challenge her and try to stop her and she won't kick Bobby off.
But the event ends in week 15, I believe, when the show she usually watches ends. So you need to progress within that timeframe.