My check engine light came on and the motor seems to be shaking? I drive about 30min to work and about 30min home, so I'm not sure if I will have time to take it in before I go to work? What seems to be the problem?

Buy an OBD2 (OBDii) reader and check the engine fault code history.
Wifi, bluetooth, or wired devices are available on ebay.

possible broken motor or transmission mount

Shakes ONLY under acceleration? Goes away when you back off of the throttle? Are you sure?
Please inspect the front and both side engine mounts.The half shafts will cause that sort of a shake(whole car) when they go bad(inboard CV joints).
Aggravated OR caused my a motor mount that has shifted to one side,binding the half shaft.
Common in Chrysler mini vans!!!!!!That is why the front motor mount is adjustable.
Check the engine mount on the short half side first.

You have a check engine light so you know what to do now

Why would you use a car with those issues & not have a shop
at least get a start on some possible solutions

Check the timing belt. Need a tune up?

Is you "check engine" light on ? If it is you can take it to most of your local auto parts store and have them pull diagnostic trouble codes (DTC's) for free which may help narrow down the cause of it shaking. Not sure exactly what you are saying. Do you seem to have hesitation when pressing down on the gas to move ? As you are driving is there or does there seem to be a "stutter" once in a while like a chug. I say this because Ford products (your engine V6 or V8) have a separate coil for each spark plug that basically sits on top of the engine. Since your vehicle is a little older the coils go out on them because of the heat which causes a misfire which would cause shaking like you described. A misfire code would be in the P0300's area on the list of DTC's. I may be way off base but this is a common thing that happens with this coil on plug system. Hope this information helps....

Start by checking the tie rod ends on both sides on the front wheels..With the truck jacked up and jack stands underneath the frame both left and right wheels should be suspended in mid air..The are two tie rod ends on each side of the vehicle, a inside and outside tie rod..Check for any excessive place on each one...
Also ckeck the balance on all four tire's... Inspect the wheels for any stress cracks that would cause them to not to balance correctly and make your vehicle shake...
Check the transmission mounts on the cross member,make sure the mount is secure to the Trans and cross member mount..Also check both u-joints on the drive shaft and any hanger bearings that may be underneath there..If it's a 4 wheel drive check both drive shaft's...Anyone of these option's could show those
symtom's you mentioned...Good luck and let me know how it works out..

Could be a broken motor mount. Not uncommon to break one. However, for it to shake badly you may have just broken a second motor mount.

If the service center is close by, I would likely take the chance and drive it. I just wouldn't accelerate hard - and I would be very gentle. That is just my opinion - can't be "for sure" without knowing more.

Good luck.

check all motor mounts, they could be bad causing engine to shake, especially up hill under load.

I WOULD ALMOST BET THAT THE SHAKING OF THE CAR IS DIRECTLY RELATED TO THE CHECK ENGINE LIGHT, THUS ONE PROBLEM. IT COULD BE BAD INJECTOR(S) OR JUST POOR MAINTENENCE. WITH 88K ON IT I THINK IT WOULD BE SOMETHING MINOR. HOPE THIS HELPS. LET ME KNOW. THANKS FOR USING FIX-YA. THANK YOU IN ADVANCE FOR AN HONEST RATING AS WELL.