Pat -
If this were my problem to fix, the first thing I would want to have is a complete model number. I am not a Maytag guru however I believe their model numbers would be either A108 or A108S for this model, and at least in some models, that would affect the timer part number that you need to look for.
There are a number of online websites that can offer parts by description for this model, and also by part number. I found the timer to be part number 205001 or 2-05001. There is one on ebay for 80-bucks or new at one website for $150-something. There are probably other sites offering this part as well.
In the meantime, are you saying that the machine bypasses the fill, meaning it goes right into agitation with no water? Or does it just sit there and do nothing during what should be the fill portion?
If it goes right into agitate, my first thought is that the water-level switch is faulty. If it just sits there doing nothing, I would suspect a fill valve, also called a mixing valve. A timer however could certainly cause weird behavior here too, but that is not the first place I would look.
If a trust-worthy service person has examined the machine and determined that your timer is bad, google the part numbers above and see if you can find any cheaper alternatives. I have purchased from the ebay seller before, and have been able to get them to lower their price a couple times if I ask nicely.
Gordon