Putting aside the rationale for wanting to remove these genes, there are many ways to do what you're after.
Let's say your DESeqDataSet object is named dds and your "results table" is called res.
Take a minute to familiarize yourself with the type of entries stored in the columns of res, by taking a quick peak: head(res).
Your dds should have some type of row-level identifiers. You can find this out by looking at the output of head(rownames(dds)). Can you match those identifiers with any of the entries in the columns of res? If you can't, you've got larger fish to fry, but let's press on ...
Depending on how you built dds, it should also have a DataFrame of meta information for the rows (genes) of your dds, which you can see by looking at rowData(dds). Do any of the entries there match the entries in the columns of res?
One you've identified the column in res that has identifiers you can match to some gene information in dds, then get the identifiers from res you want to remove, and store them in axe, and do something like dds2 <- dds[!rowData(dds)$some_identifier %in% axe,]
A DESeqDataSet is a SummarizedExperiment (read that vignette if you haven't already). Both of which can be indexed like a 2d data structure. If you are having problems with the mechanics of subsetting and filtering 2d objects, then it'd be helpful to run through a couple of R tutorials before you get too frustrated by some R basics in your bioinformatics quest.
Deleted for now, think I figured it out.