Twice the trouble.

Padme can see how different Anakin has become over time, going from the passionate young man she fell in love to this angry walking timebomb and it scares/worries her so she starts looking for the reasons for such change. That’s how she finds out Anakin and Obi-wan’s relationship is worryingly strained and they have begun to drift apart which, as her mate, she can taste is making Anakin seethe with displeasure.

More worrisome though is sensing that Obi-wan too feels oddly bothered by these clashes, worry and tension never quite leaving him alone, enough that she braves asking him about their relationship or why they keep rubbing each other wrong.

The answer would have sent a weaker person into a panic.

He doesn’t know or at least not why it keeps getting worse and every attempt he has given to fix whatever misunderstanding or slight just seems to fall short, obviously failing to hit on the real reason why Anakin finds fault and lies in everything he does/says.

Obi-wan tries to reasure her and prompts her to just ignore their dumb fights since (unlike her husband) he can tell she’s pregnant and it wouldn’t be fair to burden her with their shit on top of her own but she can’t leave it alone. 

It eats at her knowing something is both offsetting her mate instincts enough to hurt him/unbalance his mind and worsening the health of their friend until Padme decides enough is enough and starts working on fixing the issue herself.

She begins to spend more time with Obi-wan, inviting him for a walk or tea, seaking him out for chats or to help her soothe her nerves about the ongoing pregnancy -- even going as far as manipulating the Senate into cancelling or cutting out missions for him. Initially it was just to discover the truth behind the complaints and lies her husband kept finding on the jedi master, yet each session drifted further from that cold hearted approach. 

Her attention to details (skill from her work as a politician) lead her to catch on small tells from the other man every so often and many of his actions often ended with her more endeared to the older omega rather than pushing her towards the same negative feelings her husband often shared on their matebond.

While unbelievably hard to catch, some of Obi-wan's more subtle actions can easily be connected to his instincts and it’s through those Padme both figures out Obi-wan is more affected by the failing relationship with his friend and that also he’s not quite aware the consequences it's having on his health -- He blames it all to the ongoing war and he’s sure everyone else feels the same.

These reunions plus her growing affection for him gives her the idea to add Anakin to the table, to give them the chance to communicate in a peaceful environment without the war or other duties to distract them so they can hopefully, with some extra help, solve their conflict.

Not all her motives are exactly selfless, Padme finds easy to admit how much she desires Obi-wan company and subtle affection, working to fix their problem in a way that gets her to make them become bondmates only results on a win-win situation for everyone so she sets her mind to work on convincing her misguided mate to start pulling Obi closer instead of constantly pushing him away.

Thankfully, she has first hand experience on how her husband gets when he’s given a chance to interact/take care her on the days she feeling closer to her omegan nature (he’s rarely one to pull back from his own instincts so it drives him crazy when someone he loves willingly goes all soft, small and vulnerable around him -- both during or outside a heat) and while she knows he’s aware Obi-wan is an omega, Padme is certain her mate doesn’t quite get the jedi master is indeed one, so she will help him see their friend is not that different from her.