The Philippines and Bangladesh both suspended in-person classes, while India is reviewing whether heat has affected turnout in national elections
Trump responded: "I didn't know that she was nasty. I hope she is OK..."
He seemed to bury the hatchet saying: "I am sure she will go excellently (as a royal). She will be very good."
May will formally step down as Conservative Party leader on June 7 after all her withdrawal agreements were disagreed by her Cabinet members, forcing her to resign from office.
"I had mentioned to Theresa that you have got to build up your ammunition... I am sure that you could have built up a big advantage for your side and negotiated from strength.
"And it is very hard to play well when one side has all the advantage... They had nothing to lose. They didn't give the European Union anything to lose."
However, he acknowledged, "at the same time, I respect Theresa and she would certainly know the facts a lot better than I know them".
May's resignation will trigger a party leadership contest, and once a new party leader is in place she will no longer be Prime Minister, a process that could take weeks, if not months, CNN reported.
Trump expressed his support for former Foreign Secretary Boris Johnson, calling him "a very good guy, a very talented person".
"I think Boris would do a very good job," the President told The Sun. "I think he would be excellent."
He also showed favour for British Foreign Secretary Jeremy Hunt. "Yup, I like him," Trump added.
The Philippines and Bangladesh both suspended in-person classes, while India is reviewing whether heat has affected turnout in national elections
The demonstrators vow to remain at the hall until their demands are met
The volcano sent a tower of ash more than five kilometres into the sky as well as a fiery column of lava
It is too dangerous to make the 30-km journey from Jabalia to Rafah to see her son Yehia, says Sondos, mother of the baby
Carriers faced disruptions to flights after Iran's missile and drone attacks on Israel further narrowed options for planes
The guide covers everything from improving fine motor skills to teaching kids to care about the environment
This was the lowest demand in the past 9 months
At least 46 people were killed in a mudslide and flash floods in Mai Mahiu town in central Kenya