This is the 16552nd most frequent Turkish word.
yenilmek
"Yenilmek" means "to be defeated."
In this sentence, 'yenildi' is used in a passive sense to indicate our team was defeated.
Takımımız rakip takıma yenildi.
Our team was defeated by the opposing team.
Here, 'yenilince' conveys the act of being defeated and relates to an emotional reaction.
Müsabakada yenilince çok üzüldü.
He became very upset after losing the competition.
In this case, 'yenilmek' is the infinitive form, used to express the concept of being defeated as a general idea.