PSAT Score Affecting Summer Program Chances?

Hello,

I’m a current junior who is planning on applying to many summer programs within the field of stem (mostly very competitive although only because that seems to be unavoidable). My schedule is rigorous - plenty of AP - and my recommendations should be good, and while I don’t have the 4.0 UW everyone else does I’ve only had one B. My essays should be fairly decent, and while I still pale in comparison to many I thought I had a chance if my PSAT was good, however I received a 1370 (740 R&WR)(630M). While I feel I can improve this when I take the SAT in January or ACT in February, those scores may not be in early enough to submit ( or may be just as bad ). So overall, how much will having a weak standardized testing score hurt my application? I don’t have insane research or awards to back me up either. Thank you for any insight, and sorry for the vague and probably overasked question.