The subject is "sources", which is plural. You can break it down like this:
1. Two sources of stress that apply to you.
2. Two sources (of stress) that apply to you.
3. Two sources that apply to you.
4. Sources that apply to you.
If there was only one source of stress, it would indeed be "A source of stress that (probably) applies to you". But because it's two sources, apply is correct.
One source of stress applies
Two sources of stress apply