As an adult I would feel the same about my parents divorce as I would about a siblings divorce.
That was the common assumption. But recent studies into the impact on the adult children of grey divorce/separation seem to indicate that your hypothetical reaction may not be the norm.
OP
You had your reasons. You chose you. Knowingly, or unknowingly you badly hurt at least one of your children in the process.
The sense of betrayal. The feeling that somebody has shattered your happy enough home. The shock and disappointment that somebody you thought highly of lied, cheated, deceived. Many of those things you felt when your husband cheated on you, well it is entirely possible that your daughter feels something very similar about your affair and its aftermath as per how it affected her realtionship with you, her vision of you, her entire life.
That's the bad news
Your realtionship bond with your former husband broke, becuase of what he did. He was your husband, these bonds can break and often do.
But the good news is, you are not her spouse, you are her parent. Those bonds are more tenacious.
At the moment it might be that there is a locked door between you. Both standing close on either side wishing it wasn't there. You have to find the key. Right now if you ask for hints as to what the key might be, the only thing she might be able to offer is "find a time machine, hop in, go back and don't break my heart this time, undo it all like it never happened and make all this pain evaporate". Which you can't do.
So it might be for now all you can do is stand on your side of the door and keep tapping. Let her know you are still there, want it opened too.
In time she might be able work out what the key is, you can unlock, and the work of rekindling your relationship can begin.
For me the key was a simple, unqualified, sincere "sorry I hurt you". Hers might be very different. She might not know what it is for quite a while.
Keep tapping. And be patient becuase whatever you may hear about how she is supposed to feel, supposed to move on, supposed to get over it, supposed to whip back into the same relationship formation with you on a timeline of other people's choosing. Well, just like you couldn't will yourself into forgiveness and "kiss kiss, all better now" to suit other people and their timelines ... possibly neither can she.
But that doesn't mean she can't possibly love you, miss you every day, hurt from a sense of loss over who the 2 of you used to be in your mother/daughter bond
Keep tapping becuase it is not beyond the relms of possibility that the last thing she needs is the sun to set on your life with the door still locked tight shut. And she might not know that till you're gone.
I want nothing more than the 2 of you to find the key, open the door to your road to peace and rebuild to a point where the scars go silver. So I want you to know that when you feel like giving up, cos it's so quiet on the other side you think she isn't even there anymore, don't bank on it. Kids can huddle on the other side of the door, silently aching, for decades.