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No for a few reasons.

All the other major retail brokerages do this, unless they allow you to provide specific routing instructions (which usually comes at a cost, but I haven't checked lately). Everybody's doing it doesn't make it right, but it makes it unavoidable.

It's actually usually good for you --- your brokerage has a duty of 'best execution', so they can only route your trades to the HFT when the quotes are the same or better and they expect the HFT trade to complete as well as if they routed it to the other market. Often that means you'll get a better price, or more likelyhood of a complete trade, but some tradea might have executed better at another venue.

There's much bigger things to care about, like your brokerage's track record of availability or lack thereof during the trading day, how confusing their UI is for the things you want to do, if their means of access work with you (some people want local offices, which excludes some brokerages), fees and charges for services, including hidden fees like below market interest on deposits or above market interests on margin loans (but please don't have margin loans, cause it's usually a bad idea), etc.