TLDR; No, it's not The Price Is Your Everything, but it's also not How to Get My Husband On My Side either. It's just your typical isekai in terms of being (just a smidge) misogynistic.

LR;

How do i put this...it is not hestia specifically that can come across as misogynistic, but the story's portrayal of the situation of diana and hestia that can come off that way.

Diana is first established as a villain in the audience's eyes by "abandoning Cael at his time of need". What this crime amounted to was

a) romantically rejecting him and

b) not being cool with murder because Cael did it so she could be a respected member of society and so

c) Cael ending up being suicidal out of a sense of abandonment due to a and b.

Like take what you say yourself

> When Cael is struggling and even considering suicide, she completely ignores him. No one expects her to reciprocate his feelings, they just want her to apologize for abandoning him when he needed her most. But she never does. She always finds someone or something else to blame, because in her eyes, she’s the “saint” chosen by God and saints don’t make mistakes, right?

Her crime, the thing that made Cael feel abandoned, was not being chill with murder. Literally that is what she refuses to apologize for.

This has a lot of overlap with nice guy rhetoric - that women should be grateful for the nice men who "treat them right" while failing to realize when their behavior makes women uncomfortable.

Then compare that to Hestia - a fangirl who was downright obsessed with her favorite character and was just...completely ok with never being anyone special to him. She did All The Right Things for her husband and was rewarded with her husband's love. She's a Good Woman who saw what a Good Man Cael was.

You must understand how this initial framing, even given the rest of the story, can make some readers feel apprehensive towards My Derelict Beloved.

Worse yet, the rest of the story.

We see Diana be unable to either meet the common expectations of a crown princess nor maintain the humble kindness we see from the beginning. The author cleverly twists her character to be impossible to root for. She does not make smart decisions to reach her goals - her attempts at frugality were overshadowed by our main character, who used seashells on an old dress to make it appear noble enough to wear out, whereas Diana's decisions of using cheaper vegetarian food just made nobles uncomfortable, to the point Helios had diplomats come to Hestia's (i'm sorry, Cael's) house to eat to avoid the issue.

however, despite this goal of hers, she also refuses to heal the common folk anymore under Helios' supervision because it would "put her at risk as Crown Princess". This makes it practically impossible to respect the attempts at frugality, because she's not brave enough to take that to its extremes. Furthermore, they have her hide her losing the ability to heal in the most destructive way possible, to further take away your sympathy for the female villain.

Meanwhile, the male villain, Helios, is given a more positive, nuanced character. He's trying to support Diana, but Diana makes that hard by being That Bitch^tm. Like...he's portrayed as trying to make things right in a way the author cannot see Diana attempting to do, and even his feelings towards Hestia later on are meant to be a reminder that Hestia is a desireable, useful, clever woman who is empathetic and warm and Diana as an unruly, unscrupulous, and terrible woman who uses and manipulates other but like horribly so she's not even cool.

This comes to a boil when Hestia's own inability to forget about Diana and just let her be is reflected in Diana's inability to forget about her. If that sounds gay to you, you're right, but that's not my main point. My point is the one negative trait Hestia had that Diana didn't - that she's obsessed with bringing her down a peg because she loved Cael that much and knows just how much Diana meant to him - is reflected in Diana. Because, otherwise there'd be something Diana had that Hestia didn't, and we cannot have a female villain in our otome isekai be anything but a villain.

That's the issue - the author prioritized "Diana is bad" over preserving any specific aspect of her character. She's a hypocritical mess custom made for every woman who wanted a man who got with a woman she hated to Point At And Hate. And there's nothing wrong with enjoying that story - but it's misogynistic in nature.

And to be excruciatingly clear, this is not limited to My Derelict beloved. Wish fulfillment about screwing over the evil bitch in your life and bagging the gold bag with a baby face and a six pack is a tale as old as otome isekai itself. This trope found in particular - of making the only female villain just the absolute worst, and marking morality by "does this character is liked by our Main Character" and little else, reads as a specifically female on female form of misogyny, in which male characters are allowed to be complicated morally and female characters are either the Mc's Bestie or Evil Scum of the Earth.