Some context here: I work for a company as a front-end web designer. I'm dealing with a new "team" who put themselves together to make updates to the company website (sales & marketing types) ... that's great, but they want to make changes that just aren't good UX decisions. I'm running into a brick wall, and losing, to a lot of the things they want. Now they want to remove the search button from the site search and use an arrow. I am arguing against it. It's too small. it's not descriptive. It doesn't fit the mental model for a search button on a web site (at least not to me).
I think they're approaching everything from a self-design stance and it's beyond frustrating. At this point, I'm so frustrated, I am afraid I'm being too obtuse. Is an arrow an acceptable choice for a search button?