Egwene made that clear. If Rand can't be convinced by people he trusts, then he might be influenced by a sea of humanity pleading to him not to break the Seals.

This is nothing Rand has not foreseen. He smiled mysteriously when Egwene told him "we must plan", and he answered "I came here so you could plan".

Rand knows what he's doing. He needed "the world" to gather in a single location. He thinks he already has the women he will need to assist him. He wanted Egwene to get the White Tower ready for Tarmon Gai'don. She now knows she has a month to put it on the war footing. He also expected Egwene to send to everyone she could find to come try to convince Rand not to break the seals... Rand wants the world to get involved. He' said as much. He will guide, but this isn't his battle to fight.

LTT is Aes Sedai to the bone, and he can argue with the best of them. He wanted the world's armies gathered for him, and he didn't have the time and resources available to do it himself. If he had told Egwene : "I need you help to gather the world's armies north of TV in a month to the day, as I will launch TG that day", he risked that Egwene would have balked and tried to make the gathering fail, to delay Rand long enough to convince him the world isn't ready and he can't break the seals. He's outwitted her. He obviously doesn't care she mounts this worldwide alliance to oppose him, he expects her to do just that, and all he wants is that the world is gathered - to fulfill at last the Aelfinn's answer about the world being "as one" (he needs the alliance of west and south, the Seanchan's, to come too... I will see to that shortly, I think). He intends to present his case in front of all the armies that will fight TG, and doing so he will have cornered the WT. Expect Rand to bring up his version of the events surrounding the Fateful Concord in front of everyone. If the WT chooses to oppose him, they will have to do so openly, in front of the whole world, and defend its decision, and bear its responsabilities. As he joked to Egwene, he wished he had gotten more involved with the Tower, he could have had a scapegoat to blame his mistakes on... She should have listened more closely... behind the joke was a truth... the Tower, if they decide to oppose his plan, will have to explain itself, or risk losing all its credibility and a lot of its power. They, not Rand, will be pushed aside (what Rand probably doesn't realize - at least he never has been told about it.... is that Egwene has developped closer ties to all the other groups of female channellers. If Rand thinks he can fall back on the WO or Windfinders if the WT refuses him, he might have the bad surprise Egwene had gotten to them first... he doesn't know the WO have kept in touch with Egwene, or that the Windfinders have gotten involved with the Tower).

In the WOS, LTT backed down in front of the Concord, and it made the Light dither and dither, until the Concord's plans fell apart and it wss almost too late to save the world. Rand doesn't intend to make the same mistake. He sets the schedule, and if the WT refuses him, he will move forward without them, in his own time. He won't agree to dither and delay until another plan can be implemented etc.

The second part of Rand's intent with this, IMO, is that being much wiser now he understands he might be wrong, as he thinks Latra Posae may have been right to oppose him.... He is also genuinely leaving the WT a month to come up with a sensible plan, and solid arguments why he must change his mind. If they have nothing that can convince him, he will act.

There may be more to it than that. I think there are events surrounding the Fateful Concord we don't yet know nor understand. It's just sort of obvious that LTT has played Egwene, and what he did is part of a scheme to avoid another Fateful Concord... despite their appearances that he's just gone and gave Egwene the rope to hang him, leaving one of the most influential and powerful women in the world a full month to convince his allies to join her to oppose his plans. (It's an important distinction to make, incidentally. Egwene doesn't intend to oppose Rand or turn the world away from the Dragon, she opposes a central aspect of his plans, and hopes humanity will convince him to delay. That's not quite the same thing.) Egwene has ground to oppose Rand's decision. It is ingrained deep in the Tower that the Aes Sedai's main mission is to protect the world from the Shadow. Egwene is merely stepping up to this responsability at last - because she's brought the Tower back into shape and it can now functions as it should. And she takes this very seriously, unlike other AS. Few would have the blind faith to make the leap Rand made, none has shared his epiphany. He admitted to Egwene he had no idea yet how he would seal the Bore, he admitted to her there was a risk Shai'tan would break free if he removes the sealing. Rand argues they cannot wait, and my hunch is that he is right. But this is fiction, and nothing will happen to any of us if he is wrong. The same can't be said for the world, or Egwene. It's perfectly legitimate that she freaks out.