First of all, selecting a camera totally depends on you, in this case, its your colleague.
The first thing to consider when buying a camera would be the look and feel and features of your chosen camera. The user need to be confortable with this, else he/she will end up regretting the purchase. Next, consider the pros and cons of the camera and whether you are able to live with the cons of the camera. And lastly, your final budget.
I have not tried the Fujifilm F11 before, but i would definitely go for the A620 because of the swing out LCD. I currently own a Canon A80 and this feature has helped alot in taking photographs in odd position. Comparing the features between the F11 and A620, the A620 does have some winning points over the F11 in this area.
Regardless of the recommendations and comments made/heard, the user should make the purchasing decision based on his/her judgement and assessment of their needs.