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Can you provide any more info about your system? Windows 7? Windows 10?
The wallet has built in sync nodes so it should sync up by itself as long as there is a working internet connection. Do you have a firewall blocking the MUE client?
Normally it takes a matter of minutes to sync up the wallet.
sure, i use windows 7 and i have set up a rule for my firewall to let MUE run. the version of the MUE client is 1.0.3.2. i also tried to reinduce the blockindex.
You can try to delete the contents of the chainstate/ and blocks/ folders, restart the client and see what happens. If that too fails, then it definitely is a connectivity issue with windows. Alternatively... make a copy/backup of your whole muecore folder. Then rename the muecore folder to say mucore_old and start the client again to recreate the folder, wallet and config files etc. if things still cannot sync up, then consider turning off the Windows firewall for a test to see if the wallet can sync up, then you at least know where the problem lies.