It seems to be接下来应该跟一个名词指代 (it + be + 名词/代词), 比如 it seems to be [the shy girl] who is going to win the first prize in the contest.
这里用there的原因是no possibility, 没有机会, 有或者没有,这个指代需要用there + be来做.
如果把没机会换成有很大机会
There seems to be a huge chance that the shy girl can win the first price in the contest.