Alex said she hopes to better the strong start she had at the 2015 Open, in which she was in second place after the first round, fourth place entering the weekend and 18th entering the final round before a 71 left her in a tie for 20th. But earlier in the week Trump threatened to sue the USGA if it moved the site of its championship.
While there were fears his visit would spark protests, fans at the course were supportive and players apparently unfazed.
It's not clear whether Trump himself will make an appearance after he returns from Paris.
Trump wasn't able to resuscitate the dying project, which infuriated him at the time.
After watching golf on television with about a dozen people for about an hour, Trump exited the viewing area and got into a auto.
The majority of spectators showed support for Trump, and no protesters were on the Trump National grounds.
Trump has denied the assault accusations, and he gave a defiant apology for the remarks he made in the recording after it became public previous year. The field of 156 includes players from 28 nations.
USA player Lexi Thompson - who has played with Trump in Florida - said she felt "pretty comfortable" playing in front of him on Friday, adding that it was "definitely entertaining" to have him at the course.
There are still 39 players who have to finish their first round, including Heck.
In October, Senators Bob Casey of Pennsylvania, Ed Markey of MA and Richard Blumenthal of CT, all Democrats, expressed their concern, too.
But the USGA said Trump would be more than welcome at one of their flagship events.
The 72-hole tournament, which is scheduled to finish on Sunday, has had to share the spotlight with President Donald Trump, who owns the course. "Will be heading to New Jersey and attending the #USWomensOpen, their most important tournament, this afternoon", Trump posted on Twitter.
Menendez's office said he had no additional comment.
UltraViolet is now taking aim at the golf organization's decision to hold the tournament at the club.
Trump's presence was welcomed by LPGA golfers even though there was some controversy before the event. "They're politicians and they need to go and kiss babies, and they're going to go do it".
"I take my role as a female role model very seriously, but this week is about the golf", Michelle Wie said. What's more wonderful about Shanshan's round is that it came just days after a long flight back from China, where she played in a tournament last week.
"We must be pretty famous", she said with a laugh.
"I secretly want to be a Secret Service agent", Angela Stanford said after completing her round a bit before Trump got to Bedminster.
"I heard people like kind of screaming, so that's what I was trying to find out, like why they were screaming", Feng said of the movement around the green, where marshals had to remind the gallery that play was continuing.