What在此句中是当作形容词来用。what是作形容词修饰influence.

what

influence

you

might

have

on

the

nature

world作宾语从句，充当consider（考虑）的宾语。

what的词性可以是：1.形容词

2.

代词

3.

感叹词

4.

副词

1.形容词

例：What

colour

is

your

hair?

2.代词

例：What

did

you

say?

3.

感叹词

例：What?

She's

a

girl?

4.副词

例：

What

does

it

matter?

满意的话，记得采纳咯！