Rotate the Photoshop pattern ? You can now turn the selected preset in a number of areas of the application though sadly not in some of the more useful areas such as the brush textures. Note that feature has only recently been added though you could of course rotate them early, it would require a slightly different approach.
You can rotate it in the layer menu and new fill layer and patterns. This can be done when you first create the fill layer but it can also be done once you have the layer. Go to the layers panel found in the window menu and double click the entry and the panel with the angle will re-appear and you can set it to 34 degrees or 68 degrees and so on. Hold down the shift key as turn the dial to limit the angle to 15 degrees, 30 degrees etc. Change the angle and then release the mouse click and the layer will be updated. Unfortunately the feature does not allow you to multiple layers as the same time. You can also use this to combine multiple layers with the same preset or different presets and use with blending modes to create all kinds of amazing artwork.
Fill does not include this feature but as it is just a standard layer, you can apply the fill to the current layer via the contents option 'pattern' and then simply turn the layer. It may be best to convert this layer then into a smart object via the layer menu and smart object menu and then transform it via the edit menu and transform commands. Not ideal, it would be great if the feature was added as the resulting layer will end up extending beyond the document if you are using a layer the same size as the document.
You can also use the feature in the layer styles panel. Go to the layer menu (with a layer selected) and layer styles and select overlay or stroke (that also has the angle). Go to the angle field and set the value. You can also combine this tile effect with the existing tile effect via blending modes in the layer styles.
Go to the toolbar and then create a shape layer such as a rectangle or ellipse or a custom shape. Set the top left option to shape layer and add the vector design to the art board. You can set the color to no fill, gradient etc. Select pattern and the angle is available and you can then turn the design. As you can convert the artwork into a smart object via the layer menu, you can also add an additional overlay via the layer styles and then combine those two tile designs
You can also use the 3D features in the application to perform a similar action