Hm. I wonder just who is going to be antagonistic and attack Lloyd. Truly a conundrum for the ages.
Well, the glasses hero had reasons to dislike Lloyd, but he has no reasons to be envious of an S-rank party. He is probably the most famous hero in the land, and the only way he could get promoted is if he demonstrated leadership skills and became a Pope.
The white mage in his party has reasons to be offended, but it's not a white mage's job to pick fights.
The chuuni black mage probably doesn't have reasons to attack Lloyd either. In fact, she looks like she might join their party. Well, she might want to take Lloyd's place in the party, but she looks like she can't do sneaky things if her life depended on it.
The scarred adventurer is the one most likely to do something stupid. But that's because we don't know anything about him except that he is stuck up about ranks.
Everybody else that was introduced seem to be in the "protect the princess" group, and so are not in position to be antagonistic.
Still, they are veteran adventurers, not some semi-skilled newbies that pick fights with the MC when he first comes to the guild. They will probably suggest a competition. Such as "who conquers the dungeon first" or something.