You can add your flickr images another way and this actually makes then embedded posts in your blog that work with the theme. The copy and pasting of the html will override the themes styles.
Go to the share this via… and then click on the more ways to share and you'll see the WordPress logo there. click on the logo. Enter your blog address along with your username and password and click save me and you will then be asked what to call the post and what to put in the description. And boom it is posted to your site. The next time you want to add an image you can click the larger WordPress logo. See this Screenshot.
I tried this on one of my own test blogs and it completely worked if that's what your looking for.