Direct fiber-laser diode pumping is intriguing for waveguide laser operation, for robustness and high laser efficiency. However, the huge mismatch between waveguide and fiber modes limits the further improvement of waveguide laser performance. Here we design and take numerical study on the large-mode-area, single-mode Yb:KYW loaded-rib waveguide structure with tilt side walls, which is easy to fabricate using existing techniques. It is demonstrated that the waveguide structure guarantees direct butt coupling with insertion loss <3 dB for fibers with core diameter ranging from 11.0 to 55.5 μm. The effect of alignment mismatch is also studied, showing good alignment tolerance. The overlap ratio of modes between pumping and laser emission wavelength is as high as 99.84%, with extreme small laser divergence angle. These features make the waveguide promising candidate for high power waveguide laser applications.