Should I trim adapters from my Illumina reads?
This depends on the objective of your experiments.
In case you are sequencing for counting applications like differential gene expression (DGE) RNA-seq analysis, ChIP-seq, ATAC-seq, read trimming is generally not required anymore when using modern aligners. For such studies local aligners or pseudo-aligners should be used. Modern "local aligners" like STAR, BWA-MEM, HISAT2, will "soft-clip" non-matching sequences.